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Finding the Fourth Proportional to 36,781.72, 50,599.49 and 32,223.87

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Solution

The fourth proportional to 36,781.72, 50,599.49 and 32,223.87 is: 44,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,781.72 : 50,599.49 = 32,223.87 : x
  2. Step 2: Convert to fraction form
    36,781.72/50,599.49 = 32,223.87/x
  3. Step 3: Cross multiply
    36,781.72x = 50,599.49 × 32,223.87
  4. Step 4: Simplify right side
    36,781.72x = 1,630,511,387.83
  5. Step 5: Solve for x
    x = 1,630,511,387.83/36,781.72
  6. Step 6: Final answer
    x = 44,329.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.