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Finding the Fourth Proportional to 31,909.92, 44,034 and 17,760.24

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Solution

The fourth proportional to 31,909.92, 44,034 and 17,760.24 is: 24,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.92 : 44,034 = 17,760.24 : x
  2. Step 2: Convert to fraction form
    31,909.92/44,034 = 17,760.24/x
  3. Step 3: Cross multiply
    31,909.92x = 44,034 × 17,760.24
  4. Step 4: Simplify right side
    31,909.92x = 782,054,408.16
  5. Step 5: Solve for x
    x = 782,054,408.16/31,909.92
  6. Step 6: Final answer
    x = 24,508.19

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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.