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Finding the Fourth Proportional to 31,012.38, 42,796.17 and 17,584.86

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Solution

The fourth proportional to 31,012.38, 42,796.17 and 17,584.86 is: 24,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.38 : 42,796.17 = 17,584.86 : x
  2. Step 2: Convert to fraction form
    31,012.38/42,796.17 = 17,584.86/x
  3. Step 3: Cross multiply
    31,012.38x = 42,796.17 × 17,584.86
  4. Step 4: Simplify right side
    31,012.38x = 752,564,657.99
  5. Step 5: Solve for x
    x = 752,564,657.99/31,012.38
  6. Step 6: Final answer
    x = 24,266.59

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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.