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Finding the Fourth Proportional to 36,826, 50,819.88 and 20,059

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Solution

The fourth proportional to 36,826, 50,819.88 and 20,059 is: 27,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826 : 50,819.88 = 20,059 : x
  2. Step 2: Convert to fraction form
    36,826/50,819.88 = 20,059/x
  3. Step 3: Cross multiply
    36,826x = 50,819.88 × 20,059
  4. Step 4: Simplify right side
    36,826x = 1,019,395,972.92
  5. Step 5: Solve for x
    x = 1,019,395,972.92/36,826
  6. Step 6: Final answer
    x = 27,681.42

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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.