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Finding the Fourth Proportional to 75,397, 104,049.22 and 41,408.68

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Solution

The fourth proportional to 75,397, 104,049.22 and 41,408.68 is: 57,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,397 : 104,049.22 = 41,408.68 : x
  2. Step 2: Convert to fraction form
    75,397/104,049.22 = 41,408.68/x
  3. Step 3: Cross multiply
    75,397x = 104,049.22 × 41,408.68
  4. Step 4: Simplify right side
    75,397x = 4,308,540,855.23
  5. Step 5: Solve for x
    x = 4,308,540,855.23/75,397
  6. Step 6: Final answer
    x = 57,144.73

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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.