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Finding the Fourth Proportional to 89,609.38, 123,641.10 and 51,861.76

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Solution

The fourth proportional to 89,609.38, 123,641.10 and 51,861.76 is: 71,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,609.38 : 123,641.10 = 51,861.76 : x
  2. Step 2: Convert to fraction form
    89,609.38/123,641.10 = 51,861.76/x
  3. Step 3: Cross multiply
    89,609.38x = 123,641.10 × 51,861.76
  4. Step 4: Simplify right side
    89,609.38x = 6,412,245,054.34
  5. Step 5: Solve for x
    x = 6,412,245,054.34/89,609.38
  6. Step 6: Final answer
    x = 71,557.74

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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.