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Finding the Fourth Proportional to 38,367, 57,576.60 and 13,743

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Solution

The fourth proportional to 38,367, 57,576.60 and 13,743 is: 20,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367 : 57,576.60 = 13,743 : x
  2. Step 2: Convert to fraction form
    38,367/57,576.60 = 13,743/x
  3. Step 3: Cross multiply
    38,367x = 57,576.60 × 13,743
  4. Step 4: Simplify right side
    38,367x = 791,275,213.80
  5. Step 5: Solve for x
    x = 791,275,213.80/38,367
  6. Step 6: Final answer
    x = 20,623.85

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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.