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Finding the Fourth Proportional to 57,937.80, 86,914.80 and 24,657.60

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Solution

The fourth proportional to 57,937.80, 86,914.80 and 24,657.60 is: 36,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,937.80 : 86,914.80 = 24,657.60 : x
  2. Step 2: Convert to fraction form
    57,937.80/86,914.80 = 24,657.60/x
  3. Step 3: Cross multiply
    57,937.80x = 86,914.80 × 24,657.60
  4. Step 4: Simplify right side
    57,937.80x = 2,143,110,372.48
  5. Step 5: Solve for x
    x = 2,143,110,372.48/57,937.80
  6. Step 6: Final answer
    x = 36,989.85

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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.