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Finding the Fourth Proportional to 82,357.68, 113,653.92 and 44,631.96

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Solution

The fourth proportional to 82,357.68, 113,653.92 and 44,631.96 is: 61,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.68 : 113,653.92 = 44,631.96 : x
  2. Step 2: Convert to fraction form
    82,357.68/113,653.92 = 44,631.96/x
  3. Step 3: Cross multiply
    82,357.68x = 113,653.92 × 44,631.96
  4. Step 4: Simplify right side
    82,357.68x = 5,072,597,211.28
  5. Step 5: Solve for x
    x = 5,072,597,211.28/82,357.68
  6. Step 6: Final answer
    x = 61,592.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.