Simplify the following expression using the order of operations. Round your answer to the nearest hundredth, if necessary. $$ 45.6+32.64 \div 6.4 \cdot 4.9 $$

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To simplify the expression $$ 45.6 + \frac{32.64}{6.4} \times 4.9 $$, follow the order of operations (PEMDAS/BODMAS):

1. **Division and Multiplication (from left to right):**
   
   $$
   \frac{32.64}{6.4} = 5.1
   $$
   
   $$
   5.1 \times 4.9 = 24.99
   $$

2. **Addition:**
   
   $$
   45.6 + 24.99 = 70.59
   $$

The simplified expression rounded to the nearest hundredth is:

$$
\boxed{70.59}
$$
First, divide 32.64 by 6.4 to get 5.1, then multiply by 4.9 to get 24.99. Add that to 45.6 to get 70.59. simplify answer: 70.59

Simplify the following expression using the order of operations. Round your answer to the nearest hundredth, if necessary. \[ 45.6+32.64 \div 6.4 \cdot 4.9 \]

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