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Finding the Fourth Proportional to 57,644.60, 86,414.24 and 20,184.19

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Solution

The fourth proportional to 57,644.60, 86,414.24 and 20,184.19 is: 30,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.60 : 86,414.24 = 20,184.19 : x
  2. Step 2: Convert to fraction form
    57,644.60/86,414.24 = 20,184.19/x
  3. Step 3: Cross multiply
    57,644.60x = 86,414.24 × 20,184.19
  4. Step 4: Simplify right side
    57,644.60x = 1,744,201,273.29
  5. Step 5: Solve for x
    x = 1,744,201,273.29/57,644.60
  6. Step 6: Final answer
    x = 30,257.85

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1.5x scale

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.