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Finding the Fourth Proportional to 36,965.44, 51,012.27 and 20,198.44

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Solution

The fourth proportional to 36,965.44, 51,012.27 and 20,198.44 is: 27,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,965.44 : 51,012.27 = 20,198.44 : x
  2. Step 2: Convert to fraction form
    36,965.44/51,012.27 = 20,198.44/x
  3. Step 3: Cross multiply
    36,965.44x = 51,012.27 × 20,198.44
  4. Step 4: Simplify right side
    36,965.44x = 1,030,368,274.86
  5. Step 5: Solve for x
    x = 1,030,368,274.86/36,965.44
  6. Step 6: Final answer
    x = 27,873.83

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1.5x scale

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.