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Finding the Fourth Proportional to 57,468.60, 86,200.14 and 20,027.16

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Solution

The fourth proportional to 57,468.60, 86,200.14 and 20,027.16 is: 30,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.60 : 86,200.14 = 20,027.16 : x
  2. Step 2: Convert to fraction form
    57,468.60/86,200.14 = 20,027.16/x
  3. Step 3: Cross multiply
    57,468.60x = 86,200.14 × 20,027.16
  4. Step 4: Simplify right side
    57,468.60x = 1,726,343,995.80
  5. Step 5: Solve for x
    x = 1,726,343,995.80/57,468.60
  6. Step 6: Final answer
    x = 30,039.78

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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.