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Finding the Fourth Proportional to 36,382.44, 50,207.56 and 20,467

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Solution

The fourth proportional to 36,382.44, 50,207.56 and 20,467 is: 28,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382.44 : 50,207.56 = 20,467 : x
  2. Step 2: Convert to fraction form
    36,382.44/50,207.56 = 20,467/x
  3. Step 3: Cross multiply
    36,382.44x = 50,207.56 × 20,467
  4. Step 4: Simplify right side
    36,382.44x = 1,027,598,130.52
  5. Step 5: Solve for x
    x = 1,027,598,130.52/36,382.44
  6. Step 6: Final answer
    x = 28,244.34

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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.