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Finding the Fourth Proportional to 41,414.44, 62,121.66 and 32,161

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Solution

The fourth proportional to 41,414.44, 62,121.66 and 32,161 is: 48,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414.44 : 62,121.66 = 32,161 : x
  2. Step 2: Convert to fraction form
    41,414.44/62,121.66 = 32,161/x
  3. Step 3: Cross multiply
    41,414.44x = 62,121.66 × 32,161
  4. Step 4: Simplify right side
    41,414.44x = 1,997,894,707.26
  5. Step 5: Solve for x
    x = 1,997,894,707.26/41,414.44
  6. Step 6: Final answer
    x = 48,241.50

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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.