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Finding the Fourth Proportional to 89,781.62, 123,896.24 and 49,495.54

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Solution

The fourth proportional to 89,781.62, 123,896.24 and 49,495.54 is: 68,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781.62 : 123,896.24 = 49,495.54 : x
  2. Step 2: Convert to fraction form
    89,781.62/123,896.24 = 49,495.54/x
  3. Step 3: Cross multiply
    89,781.62x = 123,896.24 × 49,495.54
  4. Step 4: Simplify right side
    89,781.62x = 6,132,311,302.77
  5. Step 5: Solve for x
    x = 6,132,311,302.77/89,781.62
  6. Step 6: Final answer
    x = 68,302.52

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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.