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Finding the Fourth Proportional to 36,902.07, 50,924.82 and 20,135.07

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Solution

The fourth proportional to 36,902.07, 50,924.82 and 20,135.07 is: 27,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.07 : 50,924.82 = 20,135.07 : x
  2. Step 2: Convert to fraction form
    36,902.07/50,924.82 = 20,135.07/x
  3. Step 3: Cross multiply
    36,902.07x = 50,924.82 × 20,135.07
  4. Step 4: Simplify right side
    36,902.07x = 1,025,374,815.44
  5. Step 5: Solve for x
    x = 1,025,374,815.44/36,902.07
  6. Step 6: Final answer
    x = 27,786.38

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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.