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Finding the Fourth Proportional to 31,884.12, 44,001.18 and 17,737.92

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Solution

The fourth proportional to 31,884.12, 44,001.18 and 17,737.92 is: 24,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.12 : 44,001.18 = 17,737.92 : x
  2. Step 2: Convert to fraction form
    31,884.12/44,001.18 = 17,737.92/x
  3. Step 3: Cross multiply
    31,884.12x = 44,001.18 × 17,737.92
  4. Step 4: Simplify right side
    31,884.12x = 780,489,410.75
  5. Step 5: Solve for x
    x = 780,489,410.75/31,884.12
  6. Step 6: Final answer
    x = 24,478.94

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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.