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Finding the Fourth Proportional to 41,757.86, 62,647.02 and 13,679.42

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Solution

The fourth proportional to 41,757.86, 62,647.02 and 13,679.42 is: 20,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757.86 : 62,647.02 = 13,679.42 : x
  2. Step 2: Convert to fraction form
    41,757.86/62,647.02 = 13,679.42/x
  3. Step 3: Cross multiply
    41,757.86x = 62,647.02 × 13,679.42
  4. Step 4: Simplify right side
    41,757.86x = 856,974,898.33
  5. Step 5: Solve for x
    x = 856,974,898.33/41,757.86
  6. Step 6: Final answer
    x = 20,522.48

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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.