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Finding the Fourth Proportional to 33,147.59, 49,721.39 and 27,291.90

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Solution

The fourth proportional to 33,147.59, 49,721.39 and 27,291.90 is: 40,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.59 : 49,721.39 = 27,291.90 : x
  2. Step 2: Convert to fraction form
    33,147.59/49,721.39 = 27,291.90/x
  3. Step 3: Cross multiply
    33,147.59x = 49,721.39 × 27,291.90
  4. Step 4: Simplify right side
    33,147.59x = 1,356,991,271.97
  5. Step 5: Solve for x
    x = 1,356,991,271.97/33,147.59
  6. Step 6: Final answer
    x = 40,937.85

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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.