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Finding the Fourth Proportional to 41,174.30, 61,747.60 and 16,207.80

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Solution

The fourth proportional to 41,174.30, 61,747.60 and 16,207.80 is: 24,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.30 : 61,747.60 = 16,207.80 : x
  2. Step 2: Convert to fraction form
    41,174.30/61,747.60 = 16,207.80/x
  3. Step 3: Cross multiply
    41,174.30x = 61,747.60 × 16,207.80
  4. Step 4: Simplify right side
    41,174.30x = 1,000,792,751.28
  5. Step 5: Solve for x
    x = 1,000,792,751.28/41,174.30
  6. Step 6: Final answer
    x = 24,306.25

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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.