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Finding the Fourth Proportional to 73,841.78, 110,735.31 and 26,449.49

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Solution

The fourth proportional to 73,841.78, 110,735.31 and 26,449.49 is: 39,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,841.78 : 110,735.31 = 26,449.49 : x
  2. Step 2: Convert to fraction form
    73,841.78/110,735.31 = 26,449.49/x
  3. Step 3: Cross multiply
    73,841.78x = 110,735.31 × 26,449.49
  4. Step 4: Simplify right side
    73,841.78x = 2,928,892,474.49
  5. Step 5: Solve for x
    x = 2,928,892,474.49/73,841.78
  6. Step 6: Final answer
    x = 39,664.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.