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Finding the Fourth Proportional to 31,129.57, 42,957.86 and 17,518.38

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Solution

The fourth proportional to 31,129.57, 42,957.86 and 17,518.38 is: 24,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.57 : 42,957.86 = 17,518.38 : x
  2. Step 2: Convert to fraction form
    31,129.57/42,957.86 = 17,518.38/x
  3. Step 3: Cross multiply
    31,129.57x = 42,957.86 × 17,518.38
  4. Step 4: Simplify right side
    31,129.57x = 752,551,900.68
  5. Step 5: Solve for x
    x = 752,551,900.68/31,129.57
  6. Step 6: Final answer
    x = 24,174.82

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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.