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Finding the Fourth Proportional to 64,098.96, 96,198.04 and 41,906.32

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Solution

The fourth proportional to 64,098.96, 96,198.04 and 41,906.32 is: 62,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098.96 : 96,198.04 = 41,906.32 : x
  2. Step 2: Convert to fraction form
    64,098.96/96,198.04 = 41,906.32/x
  3. Step 3: Cross multiply
    64,098.96x = 96,198.04 × 41,906.32
  4. Step 4: Simplify right side
    64,098.96x = 4,031,305,847.61
  5. Step 5: Solve for x
    x = 4,031,305,847.61/64,098.96
  6. Step 6: Final answer
    x = 62,891.91

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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.