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Finding the Fourth Proportional to 80,297.33, 120,350.25 and 32,910.48

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Solution

The fourth proportional to 80,297.33, 120,350.25 and 32,910.48 is: 49,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,297.33 : 120,350.25 = 32,910.48 : x
  2. Step 2: Convert to fraction form
    80,297.33/120,350.25 = 32,910.48/x
  3. Step 3: Cross multiply
    80,297.33x = 120,350.25 × 32,910.48
  4. Step 4: Simplify right side
    80,297.33x = 3,960,784,495.62
  5. Step 5: Solve for x
    x = 3,960,784,495.62/80,297.33
  6. Step 6: Final answer
    x = 49,326.48

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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.