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Finding the Fourth Proportional to 57,233.70, 85,849.20 and 15,680.70

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Solution

The fourth proportional to 57,233.70, 85,849.20 and 15,680.70 is: 23,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.70 : 85,849.20 = 15,680.70 : x
  2. Step 2: Convert to fraction form
    57,233.70/85,849.20 = 15,680.70/x
  3. Step 3: Cross multiply
    57,233.70x = 85,849.20 × 15,680.70
  4. Step 4: Simplify right side
    57,233.70x = 1,346,175,550.44
  5. Step 5: Solve for x
    x = 1,346,175,550.44/57,233.70
  6. Step 6: Final answer
    x = 23,520.68

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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.