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Finding the Fourth Proportional to 36,843.36, 50,843.84 and 20,076.36

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Solution

The fourth proportional to 36,843.36, 50,843.84 and 20,076.36 is: 27,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.36 : 50,843.84 = 20,076.36 : x
  2. Step 2: Convert to fraction form
    36,843.36/50,843.84 = 20,076.36/x
  3. Step 3: Cross multiply
    36,843.36x = 50,843.84 × 20,076.36
  4. Step 4: Simplify right side
    36,843.36x = 1,020,759,235.62
  5. Step 5: Solve for x
    x = 1,020,759,235.62/36,843.36
  6. Step 6: Final answer
    x = 27,705.38

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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.