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Finding the Fourth Proportional to 75,474, 113,227.36 and 22,887.44

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Solution

The fourth proportional to 75,474, 113,227.36 and 22,887.44 is: 34,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474 : 113,227.36 = 22,887.44 : x
  2. Step 2: Convert to fraction form
    75,474/113,227.36 = 22,887.44/x
  3. Step 3: Cross multiply
    75,474x = 113,227.36 × 22,887.44
  4. Step 4: Simplify right side
    75,474x = 2,591,484,408.36
  5. Step 5: Solve for x
    x = 2,591,484,408.36/75,474
  6. Step 6: Final answer
    x = 34,336.12

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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.