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Finding the Fourth Proportional to 38,174.65, 57,245.20 and 15,669.88

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Solution

The fourth proportional to 38,174.65, 57,245.20 and 15,669.88 is: 23,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.65 : 57,245.20 = 15,669.88 : x
  2. Step 2: Convert to fraction form
    38,174.65/57,245.20 = 15,669.88/x
  3. Step 3: Cross multiply
    38,174.65x = 57,245.20 × 15,669.88
  4. Step 4: Simplify right side
    38,174.65x = 897,025,414.58
  5. Step 5: Solve for x
    x = 897,025,414.58/38,174.65
  6. Step 6: Final answer
    x = 23,497.93

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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.