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Finding the Fourth Proportional to 36,144.80, 54,217.20 and 32,919.20

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Solution

The fourth proportional to 36,144.80, 54,217.20 and 32,919.20 is: 49,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144.80 : 54,217.20 = 32,919.20 : x
  2. Step 2: Convert to fraction form
    36,144.80/54,217.20 = 32,919.20/x
  3. Step 3: Cross multiply
    36,144.80x = 54,217.20 × 32,919.20
  4. Step 4: Simplify right side
    36,144.80x = 1,784,786,850.24
  5. Step 5: Solve for x
    x = 1,784,786,850.24/36,144.80
  6. Step 6: Final answer
    x = 49,378.80

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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.