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Finding the Fourth Proportional to 73,822.62, 110,751.57 and 23,902.77

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Solution

The fourth proportional to 73,822.62, 110,751.57 and 23,902.77 is: 35,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.62 : 110,751.57 = 23,902.77 : x
  2. Step 2: Convert to fraction form
    73,822.62/110,751.57 = 23,902.77/x
  3. Step 3: Cross multiply
    73,822.62x = 110,751.57 × 23,902.77
  4. Step 4: Simplify right side
    73,822.62x = 2,647,269,581.73
  5. Step 5: Solve for x
    x = 2,647,269,581.73/73,822.62
  6. Step 6: Final answer
    x = 35,859.87

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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.