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Finding the Fourth Proportional to 74,067.81, 111,027.87 and 47,791.02

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Solution

The fourth proportional to 74,067.81, 111,027.87 and 47,791.02 is: 71,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067.81 : 111,027.87 = 47,791.02 : x
  2. Step 2: Convert to fraction form
    74,067.81/111,027.87 = 47,791.02/x
  3. Step 3: Cross multiply
    74,067.81x = 111,027.87 × 47,791.02
  4. Step 4: Simplify right side
    74,067.81x = 5,306,135,155.73
  5. Step 5: Solve for x
    x = 5,306,135,155.73/74,067.81
  6. Step 6: Final answer
    x = 71,638.88

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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.