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Finding the Fourth Proportional to 41,016.57, 61,524.87 and 13,314.57

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Solution

The fourth proportional to 41,016.57, 61,524.87 and 13,314.57 is: 19,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,016.57 : 61,524.87 = 13,314.57 : x
  2. Step 2: Convert to fraction form
    41,016.57/61,524.87 = 13,314.57/x
  3. Step 3: Cross multiply
    41,016.57x = 61,524.87 × 13,314.57
  4. Step 4: Simplify right side
    41,016.57x = 819,177,188.36
  5. Step 5: Solve for x
    x = 819,177,188.36/41,016.57
  6. Step 6: Final answer
    x = 19,971.86

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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.