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Finding the Fourth Proportional to 49,147.38, 67,769.46 and 33,204.06

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Solution

The fourth proportional to 49,147.38, 67,769.46 and 33,204.06 is: 45,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.38 : 67,769.46 = 33,204.06 : x
  2. Step 2: Convert to fraction form
    49,147.38/67,769.46 = 33,204.06/x
  3. Step 3: Cross multiply
    49,147.38x = 67,769.46 × 33,204.06
  4. Step 4: Simplify right side
    49,147.38x = 2,250,221,216.01
  5. Step 5: Solve for x
    x = 2,250,221,216.01/49,147.38
  6. Step 6: Final answer
    x = 45,785.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.