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Finding the Fourth Proportional to 31,772.97, 47,690.44 and 15,144.48

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Solution

The fourth proportional to 31,772.97, 47,690.44 and 15,144.48 is: 22,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.97 : 47,690.44 = 15,144.48 : x
  2. Step 2: Convert to fraction form
    31,772.97/47,690.44 = 15,144.48/x
  3. Step 3: Cross multiply
    31,772.97x = 47,690.44 × 15,144.48
  4. Step 4: Simplify right side
    31,772.97x = 722,246,876.91
  5. Step 5: Solve for x
    x = 722,246,876.91/31,772.97
  6. Step 6: Final answer
    x = 22,731.49

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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.