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Finding the Fourth Proportional to 31,856.52, 43,963.13 and 17,517.44

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Solution

The fourth proportional to 31,856.52, 43,963.13 and 17,517.44 is: 24,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.52 : 43,963.13 = 17,517.44 : x
  2. Step 2: Convert to fraction form
    31,856.52/43,963.13 = 17,517.44/x
  3. Step 3: Cross multiply
    31,856.52x = 43,963.13 × 17,517.44
  4. Step 4: Simplify right side
    31,856.52x = 770,121,514.31
  5. Step 5: Solve for x
    x = 770,121,514.31/31,856.52
  6. Step 6: Final answer
    x = 24,174.69

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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.