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Finding the Fourth Proportional to 36,788.27, 50,767.89 and 20,021.27

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Solution

The fourth proportional to 36,788.27, 50,767.89 and 20,021.27 is: 27,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788.27 : 50,767.89 = 20,021.27 : x
  2. Step 2: Convert to fraction form
    36,788.27/50,767.89 = 20,021.27/x
  3. Step 3: Cross multiply
    36,788.27x = 50,767.89 × 20,021.27
  4. Step 4: Simplify right side
    36,788.27x = 1,016,437,633.02
  5. Step 5: Solve for x
    x = 1,016,437,633.02/36,788.27
  6. Step 6: Final answer
    x = 27,629.39

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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.