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Finding the Fourth Proportional to 98,251.59, 147,372.22 and 31,691.73

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Solution

The fourth proportional to 98,251.59, 147,372.22 and 31,691.73 is: 47,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.59 : 147,372.22 = 31,691.73 : x
  2. Step 2: Convert to fraction form
    98,251.59/147,372.22 = 31,691.73/x
  3. Step 3: Cross multiply
    98,251.59x = 147,372.22 × 31,691.73
  4. Step 4: Simplify right side
    98,251.59x = 4,670,481,198.00
  5. Step 5: Solve for x
    x = 4,670,481,198.00/98,251.59
  6. Step 6: Final answer
    x = 47,535.93

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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.