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Finding the Fourth Proportional to 31,663.38, 43,691.68 and 17,514.30

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Solution

The fourth proportional to 31,663.38, 43,691.68 and 17,514.30 is: 24,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.38 : 43,691.68 = 17,514.30 : x
  2. Step 2: Convert to fraction form
    31,663.38/43,691.68 = 17,514.30/x
  3. Step 3: Cross multiply
    31,663.38x = 43,691.68 × 17,514.30
  4. Step 4: Simplify right side
    31,663.38x = 765,228,928.78
  5. Step 5: Solve for x
    x = 765,228,928.78/31,663.38
  6. Step 6: Final answer
    x = 24,167.64

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Why These Related Problems?

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