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Finding the Fourth Proportional to 31,615.92, 43,627.68 and 17,469

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Solution

The fourth proportional to 31,615.92, 43,627.68 and 17,469 is: 24,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.92 : 43,627.68 = 17,469 : x
  2. Step 2: Convert to fraction form
    31,615.92/43,627.68 = 17,469/x
  3. Step 3: Cross multiply
    31,615.92x = 43,627.68 × 17,469
  4. Step 4: Simplify right side
    31,615.92x = 762,131,941.92
  5. Step 5: Solve for x
    x = 762,131,941.92/31,615.92
  6. Step 6: Final answer
    x = 24,105.95

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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.