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Finding the Fourth Proportional to 82,357, 113,653.20 and 44,631.52

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Solution

The fourth proportional to 82,357, 113,653.20 and 44,631.52 is: 61,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357 : 113,653.20 = 44,631.52 : x
  2. Step 2: Convert to fraction form
    82,357/113,653.20 = 44,631.52/x
  3. Step 3: Cross multiply
    82,357x = 113,653.20 × 44,631.52
  4. Step 4: Simplify right side
    82,357x = 5,072,515,068.86
  5. Step 5: Solve for x
    x = 5,072,515,068.86/82,357
  6. Step 6: Final answer
    x = 61,591.79

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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.