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Finding the Fourth Proportional to 36,214.74, 54,310.44 and 33,853.38

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Solution

The fourth proportional to 36,214.74, 54,310.44 and 33,853.38 is: 50,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,214.74 : 54,310.44 = 33,853.38 : x
  2. Step 2: Convert to fraction form
    36,214.74/54,310.44 = 33,853.38/x
  3. Step 3: Cross multiply
    36,214.74x = 54,310.44 × 33,853.38
  4. Step 4: Simplify right side
    36,214.74x = 1,838,591,963.29
  5. Step 5: Solve for x
    x = 1,838,591,963.29/36,214.74
  6. Step 6: Final answer
    x = 50,769.16

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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.