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Finding the Fourth Proportional to 31,472.81, 47,141.25 and 14,807.87

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Solution

The fourth proportional to 31,472.81, 47,141.25 and 14,807.87 is: 22,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.81 : 47,141.25 = 14,807.87 : x
  2. Step 2: Convert to fraction form
    31,472.81/47,141.25 = 14,807.87/x
  3. Step 3: Cross multiply
    31,472.81x = 47,141.25 × 14,807.87
  4. Step 4: Simplify right side
    31,472.81x = 698,061,265.93
  5. Step 5: Solve for x
    x = 698,061,265.93/31,472.81
  6. Step 6: Final answer
    x = 22,179.82

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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.