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Finding the Fourth Proportional to 31,854.92, 43,961.29 and 17,708

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Solution

The fourth proportional to 31,854.92, 43,961.29 and 17,708 is: 24,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.92 : 43,961.29 = 17,708 : x
  2. Step 2: Convert to fraction form
    31,854.92/43,961.29 = 17,708/x
  3. Step 3: Cross multiply
    31,854.92x = 43,961.29 × 17,708
  4. Step 4: Simplify right side
    31,854.92x = 778,466,523.32
  5. Step 5: Solve for x
    x = 778,466,523.32/31,854.92
  6. Step 6: Final answer
    x = 24,437.87

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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.