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Finding the Fourth Proportional to 57,781.60, 86,629.20 and 24,474.40

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Solution

The fourth proportional to 57,781.60, 86,629.20 and 24,474.40 is: 36,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.60 : 86,629.20 = 24,474.40 : x
  2. Step 2: Convert to fraction form
    57,781.60/86,629.20 = 24,474.40/x
  3. Step 3: Cross multiply
    57,781.60x = 86,629.20 × 24,474.40
  4. Step 4: Simplify right side
    57,781.60x = 2,120,197,692.48
  5. Step 5: Solve for x
    x = 2,120,197,692.48/57,781.60
  6. Step 6: Final answer
    x = 36,693.30

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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.