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Finding the Fourth Proportional to 41,404.80, 62,102.40 and 11,827.20

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Solution

The fourth proportional to 41,404.80, 62,102.40 and 11,827.20 is: 17,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,404.80 : 62,102.40 = 11,827.20 : x
  2. Step 2: Convert to fraction form
    41,404.80/62,102.40 = 11,827.20/x
  3. Step 3: Cross multiply
    41,404.80x = 62,102.40 × 11,827.20
  4. Step 4: Simplify right side
    41,404.80x = 734,497,505.28
  5. Step 5: Solve for x
    x = 734,497,505.28/41,404.80
  6. Step 6: Final answer
    x = 17,739.43

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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.