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Finding the Fourth Proportional to 82,198.88, 123,324.24 and 35,473.76

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Solution

The fourth proportional to 82,198.88, 123,324.24 and 35,473.76 is: 53,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.88 : 123,324.24 = 35,473.76 : x
  2. Step 2: Convert to fraction form
    82,198.88/123,324.24 = 35,473.76/x
  3. Step 3: Cross multiply
    82,198.88x = 123,324.24 × 35,473.76
  4. Step 4: Simplify right side
    82,198.88x = 4,374,774,491.94
  5. Step 5: Solve for x
    x = 4,374,774,491.94/82,198.88
  6. Step 6: Final answer
    x = 53,221.83

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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.