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Finding the Fourth Proportional to 49,234.50, 67,944.02 and 26,878.50

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Solution

The fourth proportional to 49,234.50, 67,944.02 and 26,878.50 is: 37,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234.50 : 67,944.02 = 26,878.50 : x
  2. Step 2: Convert to fraction form
    49,234.50/67,944.02 = 26,878.50/x
  3. Step 3: Cross multiply
    49,234.50x = 67,944.02 × 26,878.50
  4. Step 4: Simplify right side
    49,234.50x = 1,826,233,207.18
  5. Step 5: Solve for x
    x = 1,826,233,207.18/49,234.50
  6. Step 6: Final answer
    x = 37,092.55

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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.