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Finding the Fourth Proportional to 41,200.40, 61,829.40 and 17,843.60

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Solution

The fourth proportional to 41,200.40, 61,829.40 and 17,843.60 is: 26,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200.40 : 61,829.40 = 17,843.60 : x
  2. Step 2: Convert to fraction form
    41,200.40/61,829.40 = 17,843.60/x
  3. Step 3: Cross multiply
    41,200.40x = 61,829.40 × 17,843.60
  4. Step 4: Simplify right side
    41,200.40x = 1,103,259,081.84
  5. Step 5: Solve for x
    x = 1,103,259,081.84/41,200.40
  6. Step 6: Final answer
    x = 26,777.87

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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.