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Finding the Fourth Proportional to 41,174.40, 61,732.80 and 16,204.80

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Solution

The fourth proportional to 41,174.40, 61,732.80 and 16,204.80 is: 24,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.40 : 61,732.80 = 16,204.80 : x
  2. Step 2: Convert to fraction form
    41,174.40/61,732.80 = 16,204.80/x
  3. Step 3: Cross multiply
    41,174.40x = 61,732.80 × 16,204.80
  4. Step 4: Simplify right side
    41,174.40x = 1,000,367,677.44
  5. Step 5: Solve for x
    x = 1,000,367,677.44/41,174.40
  6. Step 6: Final answer
    x = 24,295.87

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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.