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Finding the Fourth Proportional to 31,834.62, 47,753.01 and 8,461.08

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Solution

The fourth proportional to 31,834.62, 47,753.01 and 8,461.08 is: 12,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.62 : 47,753.01 = 8,461.08 : x
  2. Step 2: Convert to fraction form
    31,834.62/47,753.01 = 8,461.08/x
  3. Step 3: Cross multiply
    31,834.62x = 47,753.01 × 8,461.08
  4. Step 4: Simplify right side
    31,834.62x = 404,042,037.85
  5. Step 5: Solve for x
    x = 404,042,037.85/31,834.62
  6. Step 6: Final answer
    x = 12,691.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.