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Finding the Fourth Proportional to 27,105.40, 40,658.10 and 22,180.60

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Solution

The fourth proportional to 27,105.40, 40,658.10 and 22,180.60 is: 33,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.40 : 40,658.10 = 22,180.60 : x
  2. Step 2: Convert to fraction form
    27,105.40/40,658.10 = 22,180.60/x
  3. Step 3: Cross multiply
    27,105.40x = 40,658.10 × 22,180.60
  4. Step 4: Simplify right side
    27,105.40x = 901,821,052.86
  5. Step 5: Solve for x
    x = 901,821,052.86/27,105.40
  6. Step 6: Final answer
    x = 33,270.90

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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.