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Finding the Fourth Proportional to 31,229.78, 43,098.12 and 17,082.62

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Solution

The fourth proportional to 31,229.78, 43,098.12 and 17,082.62 is: 23,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.78 : 43,098.12 = 17,082.62 : x
  2. Step 2: Convert to fraction form
    31,229.78/43,098.12 = 17,082.62/x
  3. Step 3: Cross multiply
    31,229.78x = 43,098.12 × 17,082.62
  4. Step 4: Simplify right side
    31,229.78x = 736,228,591.18
  5. Step 5: Solve for x
    x = 736,228,591.18/31,229.78
  6. Step 6: Final answer
    x = 23,574.57

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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.