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Finding the Fourth Proportional to 49,456.44, 68,249.79 and 26,796

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Solution

The fourth proportional to 49,456.44, 68,249.79 and 26,796 is: 36,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456.44 : 68,249.79 = 26,796 : x
  2. Step 2: Convert to fraction form
    49,456.44/68,249.79 = 26,796/x
  3. Step 3: Cross multiply
    49,456.44x = 68,249.79 × 26,796
  4. Step 4: Simplify right side
    49,456.44x = 1,828,821,372.84
  5. Step 5: Solve for x
    x = 1,828,821,372.84/49,456.44
  6. Step 6: Final answer
    x = 36,978.43

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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.