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Finding the Fourth Proportional to 31,704.57, 43,753.61 and 17,557.40

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Solution

The fourth proportional to 31,704.57, 43,753.61 and 17,557.40 is: 24,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.57 : 43,753.61 = 17,557.40 : x
  2. Step 2: Convert to fraction form
    31,704.57/43,753.61 = 17,557.40/x
  3. Step 3: Cross multiply
    31,704.57x = 43,753.61 × 17,557.40
  4. Step 4: Simplify right side
    31,704.57x = 768,199,785.49
  5. Step 5: Solve for x
    x = 768,199,785.49/31,704.57
  6. Step 6: Final answer
    x = 24,229.94

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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.