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Finding the Fourth Proportional to 31,838.46, 43,938.23 and 17,691

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Solution

The fourth proportional to 31,838.46, 43,938.23 and 17,691 is: 24,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.46 : 43,938.23 = 17,691 : x
  2. Step 2: Convert to fraction form
    31,838.46/43,938.23 = 17,691/x
  3. Step 3: Cross multiply
    31,838.46x = 43,938.23 × 17,691
  4. Step 4: Simplify right side
    31,838.46x = 777,311,138.48
  5. Step 5: Solve for x
    x = 777,311,138.48/31,838.46
  6. Step 6: Final answer
    x = 24,414.22

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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.