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Finding the Fourth Proportional to 36,843.75, 50,844.78 and 20,076.75

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Solution

The fourth proportional to 36,843.75, 50,844.78 and 20,076.75 is: 27,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.75 : 50,844.78 = 20,076.75 : x
  2. Step 2: Convert to fraction form
    36,843.75/50,844.78 = 20,076.75/x
  3. Step 3: Cross multiply
    36,843.75x = 50,844.78 × 20,076.75
  4. Step 4: Simplify right side
    36,843.75x = 1,020,797,936.87
  5. Step 5: Solve for x
    x = 1,020,797,936.87/36,843.75
  6. Step 6: Final answer
    x = 27,706.14

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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.