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Finding the Fourth Proportional to 57,729.96, 86,640.24 and 29,648.88

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Solution

The fourth proportional to 57,729.96, 86,640.24 and 29,648.88 is: 44,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.96 : 86,640.24 = 29,648.88 : x
  2. Step 2: Convert to fraction form
    57,729.96/86,640.24 = 29,648.88/x
  3. Step 3: Cross multiply
    57,729.96x = 86,640.24 × 29,648.88
  4. Step 4: Simplify right side
    57,729.96x = 2,568,786,078.93
  5. Step 5: Solve for x
    x = 2,568,786,078.93/57,729.96
  6. Step 6: Final answer
    x = 44,496.59

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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.