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Finding the Fourth Proportional to 41,122.67, 61,683.72 and 11,540.50

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Solution

The fourth proportional to 41,122.67, 61,683.72 and 11,540.50 is: 17,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,122.67 : 61,683.72 = 11,540.50 : x
  2. Step 2: Convert to fraction form
    41,122.67/61,683.72 = 11,540.50/x
  3. Step 3: Cross multiply
    41,122.67x = 61,683.72 × 11,540.50
  4. Step 4: Simplify right side
    41,122.67x = 711,861,183.52
  5. Step 5: Solve for x
    x = 711,861,183.52/41,122.67
  6. Step 6: Final answer
    x = 17,310.68

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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.