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Finding the Fourth Proportional to 49,235.50, 67,944.99 and 28,027

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Solution

The fourth proportional to 49,235.50, 67,944.99 and 28,027 is: 38,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235.50 : 67,944.99 = 28,027 : x
  2. Step 2: Convert to fraction form
    49,235.50/67,944.99 = 28,027/x
  3. Step 3: Cross multiply
    49,235.50x = 67,944.99 × 28,027
  4. Step 4: Simplify right side
    49,235.50x = 1,904,294,234.73
  5. Step 5: Solve for x
    x = 1,904,294,234.73/49,235.50
  6. Step 6: Final answer
    x = 38,677.26

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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.