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Finding the Fourth Proportional to 82,227.90, 123,391.07 and 35,480.78

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Solution

The fourth proportional to 82,227.90, 123,391.07 and 35,480.78 is: 53,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.90 : 123,391.07 = 35,480.78 : x
  2. Step 2: Convert to fraction form
    82,227.90/123,391.07 = 35,480.78/x
  3. Step 3: Cross multiply
    82,227.90x = 123,391.07 × 35,480.78
  4. Step 4: Simplify right side
    82,227.90x = 4,378,011,408.63
  5. Step 5: Solve for x
    x = 4,378,011,408.63/82,227.90
  6. Step 6: Final answer
    x = 53,242.41

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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.