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Finding the Fourth Proportional to 36,494.50, 54,758.22 and 20,912.12

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Solution

The fourth proportional to 36,494.50, 54,758.22 and 20,912.12 is: 31,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494.50 : 54,758.22 = 20,912.12 : x
  2. Step 2: Convert to fraction form
    36,494.50/54,758.22 = 20,912.12/x
  3. Step 3: Cross multiply
    36,494.50x = 54,758.22 × 20,912.12
  4. Step 4: Simplify right side
    36,494.50x = 1,145,110,467.63
  5. Step 5: Solve for x
    x = 1,145,110,467.63/36,494.50
  6. Step 6: Final answer
    x = 31,377.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.