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Finding the Fourth Proportional to 31,658.76, 43,686.14 and 17,511.30

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Solution

The fourth proportional to 31,658.76, 43,686.14 and 17,511.30 is: 24,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.76 : 43,686.14 = 17,511.30 : x
  2. Step 2: Convert to fraction form
    31,658.76/43,686.14 = 17,511.30/x
  3. Step 3: Cross multiply
    31,658.76x = 43,686.14 × 17,511.30
  4. Step 4: Simplify right side
    31,658.76x = 765,001,103.38
  5. Step 5: Solve for x
    x = 765,001,103.38/31,658.76
  6. Step 6: Final answer
    x = 24,163.96

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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.