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Finding the Fourth Proportional to 73,631, 110,446.50 and 18,227

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Solution

The fourth proportional to 73,631, 110,446.50 and 18,227 is: 27,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,631 : 110,446.50 = 18,227 : x
  2. Step 2: Convert to fraction form
    73,631/110,446.50 = 18,227/x
  3. Step 3: Cross multiply
    73,631x = 110,446.50 × 18,227
  4. Step 4: Simplify right side
    73,631x = 2,013,108,355.50
  5. Step 5: Solve for x
    x = 2,013,108,355.50/73,631
  6. Step 6: Final answer
    x = 27,340.50

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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.