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Finding the Fourth Proportional to 31,472.90, 47,180.19 and 15,872.42

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Solution

The fourth proportional to 31,472.90, 47,180.19 and 15,872.42 is: 23,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.90 : 47,180.19 = 15,872.42 : x
  2. Step 2: Convert to fraction form
    31,472.90/47,180.19 = 15,872.42/x
  3. Step 3: Cross multiply
    31,472.90x = 47,180.19 × 15,872.42
  4. Step 4: Simplify right side
    31,472.90x = 748,863,791.36
  5. Step 5: Solve for x
    x = 748,863,791.36/31,472.90
  6. Step 6: Final answer
    x = 23,793.92

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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.