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Finding the Fourth Proportional to 31,713.32, 47,572.19 and 12,737.95

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Solution

The fourth proportional to 31,713.32, 47,572.19 and 12,737.95 is: 19,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.32 : 47,572.19 = 12,737.95 : x
  2. Step 2: Convert to fraction form
    31,713.32/47,572.19 = 12,737.95/x
  3. Step 3: Cross multiply
    31,713.32x = 47,572.19 × 12,737.95
  4. Step 4: Simplify right side
    31,713.32x = 605,972,177.61
  5. Step 5: Solve for x
    x = 605,972,177.61/31,713.32
  6. Step 6: Final answer
    x = 19,107.81

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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.