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Finding the Fourth Proportional to 89,234.56, 123,143.68 and 51,508.80

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Solution

The fourth proportional to 89,234.56, 123,143.68 and 51,508.80 is: 71,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234.56 : 123,143.68 = 51,508.80 : x
  2. Step 2: Convert to fraction form
    89,234.56/123,143.68 = 51,508.80/x
  3. Step 3: Cross multiply
    89,234.56x = 123,143.68 × 51,508.80
  4. Step 4: Simplify right side
    89,234.56x = 6,342,983,184.38
  5. Step 5: Solve for x
    x = 6,342,983,184.38/89,234.56
  6. Step 6: Final answer
    x = 71,082.14

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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.