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Finding the Fourth Proportional to 31,906.68, 47,867.15 and 9,721.79

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Solution

The fourth proportional to 31,906.68, 47,867.15 and 9,721.79 is: 14,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.68 : 47,867.15 = 9,721.79 : x
  2. Step 2: Convert to fraction form
    31,906.68/47,867.15 = 9,721.79/x
  3. Step 3: Cross multiply
    31,906.68x = 47,867.15 × 9,721.79
  4. Step 4: Simplify right side
    31,906.68x = 465,354,344.67
  5. Step 5: Solve for x
    x = 465,354,344.67/31,906.68
  6. Step 6: Final answer
    x = 14,584.86

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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.