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Finding the Fourth Proportional to 38,681.20, 57,978.60 and 22,049.20

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Solution

The fourth proportional to 38,681.20, 57,978.60 and 22,049.20 is: 33,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,681.20 : 57,978.60 = 22,049.20 : x
  2. Step 2: Convert to fraction form
    38,681.20/57,978.60 = 22,049.20/x
  3. Step 3: Cross multiply
    38,681.20x = 57,978.60 × 22,049.20
  4. Step 4: Simplify right side
    38,681.20x = 1,278,381,747.12
  5. Step 5: Solve for x
    x = 1,278,381,747.12/38,681.20
  6. Step 6: Final answer
    x = 33,049.17

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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.