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Finding the Fourth Proportional to 50,249.50, 69,345.12 and 27,893.50

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Solution

The fourth proportional to 50,249.50, 69,345.12 and 27,893.50 is: 38,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249.50 : 69,345.12 = 27,893.50 : x
  2. Step 2: Convert to fraction form
    50,249.50/69,345.12 = 27,893.50/x
  3. Step 3: Cross multiply
    50,249.50x = 69,345.12 × 27,893.50
  4. Step 4: Simplify right side
    50,249.50x = 1,934,278,104.72
  5. Step 5: Solve for x
    x = 1,934,278,104.72/50,249.50
  6. Step 6: Final answer
    x = 38,493.48

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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.