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Finding the Fourth Proportional to 73,234.26, 109,811.85 and 33,231.42

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Solution

The fourth proportional to 73,234.26, 109,811.85 and 33,231.42 is: 49,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,234.26 : 109,811.85 = 33,231.42 : x
  2. Step 2: Convert to fraction form
    73,234.26/109,811.85 = 33,231.42/x
  3. Step 3: Cross multiply
    73,234.26x = 109,811.85 × 33,231.42
  4. Step 4: Simplify right side
    73,234.26x = 3,649,203,708.33
  5. Step 5: Solve for x
    x = 3,649,203,708.33/73,234.26
  6. Step 6: Final answer
    x = 49,829.19

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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.