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Finding the Fourth Proportional to 31,891.72, 44,010.52 and 17,744.24

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Solution

The fourth proportional to 31,891.72, 44,010.52 and 17,744.24 is: 24,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.72 : 44,010.52 = 17,744.24 : x
  2. Step 2: Convert to fraction form
    31,891.72/44,010.52 = 17,744.24/x
  3. Step 3: Cross multiply
    31,891.72x = 44,010.52 × 17,744.24
  4. Step 4: Simplify right side
    31,891.72x = 780,933,229.40
  5. Step 5: Solve for x
    x = 780,933,229.40/31,891.72
  6. Step 6: Final answer
    x = 24,487.02

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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.