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Finding the Fourth Proportional to 57,446.60, 86,234.70 and 34,086.20

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Solution

The fourth proportional to 57,446.60, 86,234.70 and 34,086.20 is: 51,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446.60 : 86,234.70 = 34,086.20 : x
  2. Step 2: Convert to fraction form
    57,446.60/86,234.70 = 34,086.20/x
  3. Step 3: Cross multiply
    57,446.60x = 86,234.70 × 34,086.20
  4. Step 4: Simplify right side
    57,446.60x = 2,939,413,231.14
  5. Step 5: Solve for x
    x = 2,939,413,231.14/57,446.60
  6. Step 6: Final answer
    x = 51,167.75

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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.