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Finding the Fourth Proportional to 38,614.78, 57,922.76 and 15,241

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Solution

The fourth proportional to 38,614.78, 57,922.76 and 15,241 is: 22,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.78 : 57,922.76 = 15,241 : x
  2. Step 2: Convert to fraction form
    38,614.78/57,922.76 = 15,241/x
  3. Step 3: Cross multiply
    38,614.78x = 57,922.76 × 15,241
  4. Step 4: Simplify right side
    38,614.78x = 882,800,785.16
  5. Step 5: Solve for x
    x = 882,800,785.16/38,614.78
  6. Step 6: Final answer
    x = 22,861.73

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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.