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Finding the Fourth Proportional to 36,930.75, 50,964.84 and 20,163.75

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Solution

The fourth proportional to 36,930.75, 50,964.84 and 20,163.75 is: 27,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930.75 : 50,964.84 = 20,163.75 : x
  2. Step 2: Convert to fraction form
    36,930.75/50,964.84 = 20,163.75/x
  3. Step 3: Cross multiply
    36,930.75x = 50,964.84 × 20,163.75
  4. Step 4: Simplify right side
    36,930.75x = 1,027,642,292.55
  5. Step 5: Solve for x
    x = 1,027,642,292.55/36,930.75
  6. Step 6: Final answer
    x = 27,826.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.