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Finding the Fourth Proportional to 49,544, 68,370.72 and 27,189.44

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Solution

The fourth proportional to 49,544, 68,370.72 and 27,189.44 is: 37,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,544 : 68,370.72 = 27,189.44 : x
  2. Step 2: Convert to fraction form
    49,544/68,370.72 = 27,189.44/x
  3. Step 3: Cross multiply
    49,544x = 68,370.72 × 27,189.44
  4. Step 4: Simplify right side
    49,544x = 1,858,961,589.20
  5. Step 5: Solve for x
    x = 1,858,961,589.20/49,544
  6. Step 6: Final answer
    x = 37,521.43

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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.