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Finding the Fourth Proportional to 38,493.80, 57,748.80 and 12,201.20

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Solution

The fourth proportional to 38,493.80, 57,748.80 and 12,201.20 is: 18,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.80 : 57,748.80 = 12,201.20 : x
  2. Step 2: Convert to fraction form
    38,493.80/57,748.80 = 12,201.20/x
  3. Step 3: Cross multiply
    38,493.80x = 57,748.80 × 12,201.20
  4. Step 4: Simplify right side
    38,493.80x = 704,604,658.56
  5. Step 5: Solve for x
    x = 704,604,658.56/38,493.80
  6. Step 6: Final answer
    x = 18,304.37

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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.