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Finding the Fourth Proportional to 31,791.87, 43,874.10 and 17,644.71

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Solution

The fourth proportional to 31,791.87, 43,874.10 and 17,644.71 is: 24,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.87 : 43,874.10 = 17,644.71 : x
  2. Step 2: Convert to fraction form
    31,791.87/43,874.10 = 17,644.71/x
  3. Step 3: Cross multiply
    31,791.87x = 43,874.10 × 17,644.71
  4. Step 4: Simplify right side
    31,791.87x = 774,145,771.01
  5. Step 5: Solve for x
    x = 774,145,771.01/31,791.87
  6. Step 6: Final answer
    x = 24,350.43

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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.