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Finding the Fourth Proportional to 31,884.62, 44,002.82 and 17,737.45

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Solution

The fourth proportional to 31,884.62, 44,002.82 and 17,737.45 is: 24,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.62 : 44,002.82 = 17,737.45 : x
  2. Step 2: Convert to fraction form
    31,884.62/44,002.82 = 17,737.45/x
  3. Step 3: Cross multiply
    31,884.62x = 44,002.82 × 17,737.45
  4. Step 4: Simplify right side
    31,884.62x = 780,497,753.95
  5. Step 5: Solve for x
    x = 780,497,753.95/31,884.62
  6. Step 6: Final answer
    x = 24,478.82

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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.