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Finding the Fourth Proportional to 31,169.90, 43,003.80 and 17,737.80

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Solution

The fourth proportional to 31,169.90, 43,003.80 and 17,737.80 is: 24,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.90 : 43,003.80 = 17,737.80 : x
  2. Step 2: Convert to fraction form
    31,169.90/43,003.80 = 17,737.80/x
  3. Step 3: Cross multiply
    31,169.90x = 43,003.80 × 17,737.80
  4. Step 4: Simplify right side
    31,169.90x = 762,792,642.38
  5. Step 5: Solve for x
    x = 762,792,642.38/31,169.90
  6. Step 6: Final answer
    x = 24,472.09

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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.