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Finding the Fourth Proportional to 57,697.20, 86,578.20 and 24,411.60

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Solution

The fourth proportional to 57,697.20, 86,578.20 and 24,411.60 is: 36,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,697.20 : 86,578.20 = 24,411.60 : x
  2. Step 2: Convert to fraction form
    57,697.20/86,578.20 = 24,411.60/x
  3. Step 3: Cross multiply
    57,697.20x = 86,578.20 × 24,411.60
  4. Step 4: Simplify right side
    57,697.20x = 2,113,512,387.12
  5. Step 5: Solve for x
    x = 2,113,512,387.12/57,697.20
  6. Step 6: Final answer
    x = 36,631.11

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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.