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Finding the Fourth Proportional to 74,658.92, 111,921.14 and 27,240.91

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Solution

The fourth proportional to 74,658.92, 111,921.14 and 27,240.91 is: 40,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,658.92 : 111,921.14 = 27,240.91 : x
  2. Step 2: Convert to fraction form
    74,658.92/111,921.14 = 27,240.91/x
  3. Step 3: Cross multiply
    74,658.92x = 111,921.14 × 27,240.91
  4. Step 4: Simplify right side
    74,658.92x = 3,048,833,490.14
  5. Step 5: Solve for x
    x = 3,048,833,490.14/74,658.92
  6. Step 6: Final answer
    x = 40,836.83

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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.