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Finding the Fourth Proportional to 41,608.50, 62,412.76 and 13,906.50

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Solution

The fourth proportional to 41,608.50, 62,412.76 and 13,906.50 is: 20,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,608.50 : 62,412.76 = 13,906.50 : x
  2. Step 2: Convert to fraction form
    41,608.50/62,412.76 = 13,906.50/x
  3. Step 3: Cross multiply
    41,608.50x = 62,412.76 × 13,906.50
  4. Step 4: Simplify right side
    41,608.50x = 867,943,046.94
  5. Step 5: Solve for x
    x = 867,943,046.94/41,608.50
  6. Step 6: Final answer
    x = 20,859.75

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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.