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Finding the Fourth Proportional to 31,713.52, 47,566.17 and 15,084.12

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Solution

The fourth proportional to 31,713.52, 47,566.17 and 15,084.12 is: 22,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.52 : 47,566.17 = 15,084.12 : x
  2. Step 2: Convert to fraction form
    31,713.52/47,566.17 = 15,084.12/x
  3. Step 3: Cross multiply
    31,713.52x = 47,566.17 × 15,084.12
  4. Step 4: Simplify right side
    31,713.52x = 717,493,616.10
  5. Step 5: Solve for x
    x = 717,493,616.10/31,713.52
  6. Step 6: Final answer
    x = 22,624.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.