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Finding the Fourth Proportional to 89,331, 133,996.50 and 23,667

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Solution

The fourth proportional to 89,331, 133,996.50 and 23,667 is: 35,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,331 : 133,996.50 = 23,667 : x
  2. Step 2: Convert to fraction form
    89,331/133,996.50 = 23,667/x
  3. Step 3: Cross multiply
    89,331x = 133,996.50 × 23,667
  4. Step 4: Simplify right side
    89,331x = 3,171,295,165.50
  5. Step 5: Solve for x
    x = 3,171,295,165.50/89,331
  6. Step 6: Final answer
    x = 35,500.50

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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.