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Finding the Fourth Proportional to 73,942.44, 102,040.56 and 40,408.44

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Solution

The fourth proportional to 73,942.44, 102,040.56 and 40,408.44 is: 55,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,942.44 : 102,040.56 = 40,408.44 : x
  2. Step 2: Convert to fraction form
    73,942.44/102,040.56 = 40,408.44/x
  3. Step 3: Cross multiply
    73,942.44x = 102,040.56 × 40,408.44
  4. Step 4: Simplify right side
    73,942.44x = 4,123,299,846.33
  5. Step 5: Solve for x
    x = 4,123,299,846.33/73,942.44
  6. Step 6: Final answer
    x = 55,763.64

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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.