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Finding the Fourth Proportional to 41,614.98, 62,409.39 and 13,906.50

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Solution

The fourth proportional to 41,614.98, 62,409.39 and 13,906.50 is: 20,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.98 : 62,409.39 = 13,906.50 : x
  2. Step 2: Convert to fraction form
    41,614.98/62,409.39 = 13,906.50/x
  3. Step 3: Cross multiply
    41,614.98x = 62,409.39 × 13,906.50
  4. Step 4: Simplify right side
    41,614.98x = 867,896,182.04
  5. Step 5: Solve for x
    x = 867,896,182.04/41,614.98
  6. Step 6: Final answer
    x = 20,855.38

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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.