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Finding the Fourth Proportional to 68,078.44, 101,942.70 and 41,703.22

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Solution

The fourth proportional to 68,078.44, 101,942.70 and 41,703.22 is: 62,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,078.44 : 101,942.70 = 41,703.22 : x
  2. Step 2: Convert to fraction form
    68,078.44/101,942.70 = 41,703.22/x
  3. Step 3: Cross multiply
    68,078.44x = 101,942.70 × 41,703.22
  4. Step 4: Simplify right side
    68,078.44x = 4,251,338,845.49
  5. Step 5: Solve for x
    x = 4,251,338,845.49/68,078.44
  6. Step 6: Final answer
    x = 62,447.65

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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.