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Finding the Fourth Proportional to 41,203.20, 61,829.10 and 27,203.70

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Solution

The fourth proportional to 41,203.20, 61,829.10 and 27,203.70 is: 40,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.20 : 61,829.10 = 27,203.70 : x
  2. Step 2: Convert to fraction form
    41,203.20/61,829.10 = 27,203.70/x
  3. Step 3: Cross multiply
    41,203.20x = 61,829.10 × 27,203.70
  4. Step 4: Simplify right side
    41,203.20x = 1,681,980,287.67
  5. Step 5: Solve for x
    x = 1,681,980,287.67/41,203.20
  6. Step 6: Final answer
    x = 40,821.59

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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.