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Finding the Fourth Proportional to 89,757.34, 123,863.48 and 48,921.82

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Solution

The fourth proportional to 89,757.34, 123,863.48 and 48,921.82 is: 67,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,757.34 : 123,863.48 = 48,921.82 : x
  2. Step 2: Convert to fraction form
    89,757.34/123,863.48 = 48,921.82/x
  3. Step 3: Cross multiply
    89,757.34x = 123,863.48 × 48,921.82
  4. Step 4: Simplify right side
    89,757.34x = 6,059,626,873.13
  5. Step 5: Solve for x
    x = 6,059,626,873.13/89,757.34
  6. Step 6: Final answer
    x = 67,511.21

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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.