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Finding the Fourth Proportional to 49,198.96, 67,894.44 and 26,842.96

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Solution

The fourth proportional to 49,198.96, 67,894.44 and 26,842.96 is: 37,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.96 : 67,894.44 = 26,842.96 : x
  2. Step 2: Convert to fraction form
    49,198.96/67,894.44 = 26,842.96/x
  3. Step 3: Cross multiply
    49,198.96x = 67,894.44 × 26,842.96
  4. Step 4: Simplify right side
    49,198.96x = 1,822,487,737.14
  5. Step 5: Solve for x
    x = 1,822,487,737.14/49,198.96
  6. Step 6: Final answer
    x = 37,043.22

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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.