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Finding the Fourth Proportional to 36,865.09, 50,873.85 and 20,098.09

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Solution

The fourth proportional to 36,865.09, 50,873.85 and 20,098.09 is: 27,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,865.09 : 50,873.85 = 20,098.09 : x
  2. Step 2: Convert to fraction form
    36,865.09/50,873.85 = 20,098.09/x
  3. Step 3: Cross multiply
    36,865.09x = 50,873.85 × 20,098.09
  4. Step 4: Simplify right side
    36,865.09x = 1,022,467,215.95
  5. Step 5: Solve for x
    x = 1,022,467,215.95/36,865.09
  6. Step 6: Final answer
    x = 27,735.38

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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.