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Finding the Fourth Proportional to 38,512.80, 57,769.20 and 28,144.80

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Solution

The fourth proportional to 38,512.80, 57,769.20 and 28,144.80 is: 42,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.80 : 57,769.20 = 28,144.80 : x
  2. Step 2: Convert to fraction form
    38,512.80/57,769.20 = 28,144.80/x
  3. Step 3: Cross multiply
    38,512.80x = 57,769.20 × 28,144.80
  4. Step 4: Simplify right side
    38,512.80x = 1,625,902,580.16
  5. Step 5: Solve for x
    x = 1,625,902,580.16/38,512.80
  6. Step 6: Final answer
    x = 42,217.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.