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Finding the Fourth Proportional to 89,882, 134,823 and 24,218

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Solution

The fourth proportional to 89,882, 134,823 and 24,218 is: 36,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,882 : 134,823 = 24,218 : x
  2. Step 2: Convert to fraction form
    89,882/134,823 = 24,218/x
  3. Step 3: Cross multiply
    89,882x = 134,823 × 24,218
  4. Step 4: Simplify right side
    89,882x = 3,265,143,414
  5. Step 5: Solve for x
    x = 3,265,143,414/89,882
  6. Step 6: Final answer
    x = 36,327

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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.