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Finding the Fourth Proportional to 31,154.38, 42,993.92 and 17,008.13

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Solution

The fourth proportional to 31,154.38, 42,993.92 and 17,008.13 is: 23,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.38 : 42,993.92 = 17,008.13 : x
  2. Step 2: Convert to fraction form
    31,154.38/42,993.92 = 17,008.13/x
  3. Step 3: Cross multiply
    31,154.38x = 42,993.92 × 17,008.13
  4. Step 4: Simplify right side
    31,154.38x = 731,246,330.57
  5. Step 5: Solve for x
    x = 731,246,330.57/31,154.38
  6. Step 6: Final answer
    x = 23,471.70

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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.