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Finding the Fourth Proportional to 36,546.14, 50,434.98 and 20,633.42

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Solution

The fourth proportional to 36,546.14, 50,434.98 and 20,633.42 is: 28,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.14 : 50,434.98 = 20,633.42 : x
  2. Step 2: Convert to fraction form
    36,546.14/50,434.98 = 20,633.42/x
  3. Step 3: Cross multiply
    36,546.14x = 50,434.98 × 20,633.42
  4. Step 4: Simplify right side
    36,546.14x = 1,040,646,125.03
  5. Step 5: Solve for x
    x = 1,040,646,125.03/36,546.14
  6. Step 6: Final answer
    x = 28,474.86

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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.