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Finding the Fourth Proportional to 78,067.96, 117,167.55 and 33,728.56

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Solution

The fourth proportional to 78,067.96, 117,167.55 and 33,728.56 is: 50,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.96 : 117,167.55 = 33,728.56 : x
  2. Step 2: Convert to fraction form
    78,067.96/117,167.55 = 33,728.56/x
  3. Step 3: Cross multiply
    78,067.96x = 117,167.55 × 33,728.56
  4. Step 4: Simplify right side
    78,067.96x = 3,951,892,740.23
  5. Step 5: Solve for x
    x = 3,951,892,740.23/78,067.96
  6. Step 6: Final answer
    x = 50,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.