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Finding the Fourth Proportional to 89,570.56, 123,609.36 and 49,286.44

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Solution

The fourth proportional to 89,570.56, 123,609.36 and 49,286.44 is: 68,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,570.56 : 123,609.36 = 49,286.44 : x
  2. Step 2: Convert to fraction form
    89,570.56/123,609.36 = 49,286.44/x
  3. Step 3: Cross multiply
    89,570.56x = 123,609.36 × 49,286.44
  4. Step 4: Simplify right side
    89,570.56x = 6,092,265,305.08
  5. Step 5: Solve for x
    x = 6,092,265,305.08/89,570.56
  6. Step 6: Final answer
    x = 68,016.38

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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.