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Finding the Fourth Proportional to 31,839.52, 43,937.64 and 17,692

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Solution

The fourth proportional to 31,839.52, 43,937.64 and 17,692 is: 24,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.52 : 43,937.64 = 17,692 : x
  2. Step 2: Convert to fraction form
    31,839.52/43,937.64 = 17,692/x
  3. Step 3: Cross multiply
    31,839.52x = 43,937.64 × 17,692
  4. Step 4: Simplify right side
    31,839.52x = 777,344,726.88
  5. Step 5: Solve for x
    x = 777,344,726.88/31,839.52
  6. Step 6: Final answer
    x = 24,414.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.