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Finding the Fourth Proportional to 43,893.20, 65,839.80 and 32,229.20

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Solution

The fourth proportional to 43,893.20, 65,839.80 and 32,229.20 is: 48,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,893.20 : 65,839.80 = 32,229.20 : x
  2. Step 2: Convert to fraction form
    43,893.20/65,839.80 = 32,229.20/x
  3. Step 3: Cross multiply
    43,893.20x = 65,839.80 × 32,229.20
  4. Step 4: Simplify right side
    43,893.20x = 2,121,964,082.16
  5. Step 5: Solve for x
    x = 2,121,964,082.16/43,893.20
  6. Step 6: Final answer
    x = 48,343.80

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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.