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Finding the Fourth Proportional to 31,606.16, 47,411.40 and 10,545.44

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Solution

The fourth proportional to 31,606.16, 47,411.40 and 10,545.44 is: 15,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.16 : 47,411.40 = 10,545.44 : x
  2. Step 2: Convert to fraction form
    31,606.16/47,411.40 = 10,545.44/x
  3. Step 3: Cross multiply
    31,606.16x = 47,411.40 × 10,545.44
  4. Step 4: Simplify right side
    31,606.16x = 499,974,074.02
  5. Step 5: Solve for x
    x = 499,974,074.02/31,606.16
  6. Step 6: Final answer
    x = 15,818.88

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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.