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Finding the Fourth Proportional to 41,647.86, 62,471.74 and 13,567.87

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Solution

The fourth proportional to 41,647.86, 62,471.74 and 13,567.87 is: 20,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647.86 : 62,471.74 = 13,567.87 : x
  2. Step 2: Convert to fraction form
    41,647.86/62,471.74 = 13,567.87/x
  3. Step 3: Cross multiply
    41,647.86x = 62,471.74 × 13,567.87
  4. Step 4: Simplify right side
    41,647.86x = 847,608,446.99
  5. Step 5: Solve for x
    x = 847,608,446.99/41,647.86
  6. Step 6: Final answer
    x = 20,351.79

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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.