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Finding the Fourth Proportional to 31,773.60, 43,850.25 and 17,631

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Solution

The fourth proportional to 31,773.60, 43,850.25 and 17,631 is: 24,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.60 : 43,850.25 = 17,631 : x
  2. Step 2: Convert to fraction form
    31,773.60/43,850.25 = 17,631/x
  3. Step 3: Cross multiply
    31,773.60x = 43,850.25 × 17,631
  4. Step 4: Simplify right side
    31,773.60x = 773,123,757.75
  5. Step 5: Solve for x
    x = 773,123,757.75/31,773.60
  6. Step 6: Final answer
    x = 24,332.27

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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.