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Finding the Fourth Proportional to 89,687.75, 123,769.10 and 51,983.87

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Solution

The fourth proportional to 89,687.75, 123,769.10 and 51,983.87 is: 71,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,687.75 : 123,769.10 = 51,983.87 : x
  2. Step 2: Convert to fraction form
    89,687.75/123,769.10 = 51,983.87/x
  3. Step 3: Cross multiply
    89,687.75x = 123,769.10 × 51,983.87
  4. Step 4: Simplify right side
    89,687.75x = 6,433,996,544.50
  5. Step 5: Solve for x
    x = 6,433,996,544.50/89,687.75
  6. Step 6: Final answer
    x = 71,737.74

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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.