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Finding the Fourth Proportional to 75,321.08, 112,978.68 and 22,729.16

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Solution

The fourth proportional to 75,321.08, 112,978.68 and 22,729.16 is: 34,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321.08 : 112,978.68 = 22,729.16 : x
  2. Step 2: Convert to fraction form
    75,321.08/112,978.68 = 22,729.16/x
  3. Step 3: Cross multiply
    75,321.08x = 112,978.68 × 22,729.16
  4. Step 4: Simplify right side
    75,321.08x = 2,567,910,494.31
  5. Step 5: Solve for x
    x = 2,567,910,494.31/75,321.08
  6. Step 6: Final answer
    x = 34,092.85

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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.