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Finding the Fourth Proportional to 38,067, 57,123.54 and 15,879.48

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Solution

The fourth proportional to 38,067, 57,123.54 and 15,879.48 is: 23,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067 : 57,123.54 = 15,879.48 : x
  2. Step 2: Convert to fraction form
    38,067/57,123.54 = 15,879.48/x
  3. Step 3: Cross multiply
    38,067x = 57,123.54 × 15,879.48
  4. Step 4: Simplify right side
    38,067x = 907,092,110.96
  5. Step 5: Solve for x
    x = 907,092,110.96/38,067
  6. Step 6: Final answer
    x = 23,828.83

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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.