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Finding the Fourth Proportional to 36,267.57, 50,057.09 and 27,676.08

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Solution

The fourth proportional to 36,267.57, 50,057.09 and 27,676.08 is: 38,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,267.57 : 50,057.09 = 27,676.08 : x
  2. Step 2: Convert to fraction form
    36,267.57/50,057.09 = 27,676.08/x
  3. Step 3: Cross multiply
    36,267.57x = 50,057.09 × 27,676.08
  4. Step 4: Simplify right side
    36,267.57x = 1,385,384,027.41
  5. Step 5: Solve for x
    x = 1,385,384,027.41/36,267.57
  6. Step 6: Final answer
    x = 38,198.98

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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.