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Finding the Fourth Proportional to 73,982.88, 110,974.32 and 24,067.44

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Solution

The fourth proportional to 73,982.88, 110,974.32 and 24,067.44 is: 36,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.88 : 110,974.32 = 24,067.44 : x
  2. Step 2: Convert to fraction form
    73,982.88/110,974.32 = 24,067.44/x
  3. Step 3: Cross multiply
    73,982.88x = 110,974.32 × 24,067.44
  4. Step 4: Simplify right side
    73,982.88x = 2,670,867,788.14
  5. Step 5: Solve for x
    x = 2,670,867,788.14/73,982.88
  6. Step 6: Final answer
    x = 36,101.16

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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.