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Finding the Fourth Proportional to 89,118, 133,677 and 23,454

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Solution

The fourth proportional to 89,118, 133,677 and 23,454 is: 35,181

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,118 : 133,677 = 23,454 : x
  2. Step 2: Convert to fraction form
    89,118/133,677 = 23,454/x
  3. Step 3: Cross multiply
    89,118x = 133,677 × 23,454
  4. Step 4: Simplify right side
    89,118x = 3,135,260,358
  5. Step 5: Solve for x
    x = 3,135,260,358/89,118
  6. Step 6: Final answer
    x = 35,181

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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.