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Finding the Fourth Proportional to 57,742.80, 86,422.20 and 41,902.80

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Solution

The fourth proportional to 57,742.80, 86,422.20 and 41,902.80 is: 62,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.80 : 86,422.20 = 41,902.80 : x
  2. Step 2: Convert to fraction form
    57,742.80/86,422.20 = 41,902.80/x
  3. Step 3: Cross multiply
    57,742.80x = 86,422.20 × 41,902.80
  4. Step 4: Simplify right side
    57,742.80x = 3,621,332,162.16
  5. Step 5: Solve for x
    x = 3,621,332,162.16/57,742.80
  6. Step 6: Final answer
    x = 62,714.87

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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.