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Finding the Fourth Proportional to 89,378.56, 123,336.96 and 49,084.48

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Solution

The fourth proportional to 89,378.56, 123,336.96 and 49,084.48 is: 67,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,378.56 : 123,336.96 = 49,084.48 : x
  2. Step 2: Convert to fraction form
    89,378.56/123,336.96 = 49,084.48/x
  3. Step 3: Cross multiply
    89,378.56x = 123,336.96 × 49,084.48
  4. Step 4: Simplify right side
    89,378.56x = 6,053,930,546.38
  5. Step 5: Solve for x
    x = 6,053,930,546.38/89,378.56
  6. Step 6: Final answer
    x = 67,733.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.