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Finding the Fourth Proportional to 36,357.60, 50,198.34 and 27,844.68

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Solution

The fourth proportional to 36,357.60, 50,198.34 and 27,844.68 is: 38,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357.60 : 50,198.34 = 27,844.68 : x
  2. Step 2: Convert to fraction form
    36,357.60/50,198.34 = 27,844.68/x
  3. Step 3: Cross multiply
    36,357.60x = 50,198.34 × 27,844.68
  4. Step 4: Simplify right side
    36,357.60x = 1,397,756,713.83
  5. Step 5: Solve for x
    x = 1,397,756,713.83/36,357.60
  6. Step 6: Final answer
    x = 38,444.69

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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.