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Finding the Fourth Proportional to 38,546.89, 57,842.21 and 15,189.73

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Solution

The fourth proportional to 38,546.89, 57,842.21 and 15,189.73 is: 22,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.89 : 57,842.21 = 15,189.73 : x
  2. Step 2: Convert to fraction form
    38,546.89/57,842.21 = 15,189.73/x
  3. Step 3: Cross multiply
    38,546.89x = 57,842.21 × 15,189.73
  4. Step 4: Simplify right side
    38,546.89x = 878,607,552.50
  5. Step 5: Solve for x
    x = 878,607,552.50/38,546.89
  6. Step 6: Final answer
    x = 22,793.22

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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.