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Finding the Fourth Proportional to 59,432, 82,016.16 and 34,285.28

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Solution

The fourth proportional to 59,432, 82,016.16 and 34,285.28 is: 47,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432 : 82,016.16 = 34,285.28 : x
  2. Step 2: Convert to fraction form
    59,432/82,016.16 = 34,285.28/x
  3. Step 3: Cross multiply
    59,432x = 82,016.16 × 34,285.28
  4. Step 4: Simplify right side
    59,432x = 2,811,947,010.12
  5. Step 5: Solve for x
    x = 2,811,947,010.12/59,432
  6. Step 6: Final answer
    x = 47,313.69

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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.