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Finding the Fourth Proportional to 36,546.40, 54,819.60 and 36,200.80

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Solution

The fourth proportional to 36,546.40, 54,819.60 and 36,200.80 is: 54,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.40 : 54,819.60 = 36,200.80 : x
  2. Step 2: Convert to fraction form
    36,546.40/54,819.60 = 36,200.80/x
  3. Step 3: Cross multiply
    36,546.40x = 54,819.60 × 36,200.80
  4. Step 4: Simplify right side
    36,546.40x = 1,984,513,375.68
  5. Step 5: Solve for x
    x = 1,984,513,375.68/36,546.40
  6. Step 6: Final answer
    x = 54,301.20

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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.