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Finding the Fourth Proportional to 31,937.69, 47,906.54 and 14,412.53

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Solution

The fourth proportional to 31,937.69, 47,906.54 and 14,412.53 is: 21,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.69 : 47,906.54 = 14,412.53 : x
  2. Step 2: Convert to fraction form
    31,937.69/47,906.54 = 14,412.53/x
  3. Step 3: Cross multiply
    31,937.69x = 47,906.54 × 14,412.53
  4. Step 4: Simplify right side
    31,937.69x = 690,454,546.70
  5. Step 5: Solve for x
    x = 690,454,546.70/31,937.69
  6. Step 6: Final answer
    x = 21,618.80

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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.