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Finding the Fourth Proportional to 89,512.59, 123,530.54 and 49,229.46

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Solution

The fourth proportional to 89,512.59, 123,530.54 and 49,229.46 is: 67,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,512.59 : 123,530.54 = 49,229.46 : x
  2. Step 2: Convert to fraction form
    89,512.59/123,530.54 = 49,229.46/x
  3. Step 3: Cross multiply
    89,512.59x = 123,530.54 × 49,229.46
  4. Step 4: Simplify right side
    89,512.59x = 6,081,341,531.56
  5. Step 5: Solve for x
    x = 6,081,341,531.56/89,512.59
  6. Step 6: Final answer
    x = 67,938.39

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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.