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Finding the Fourth Proportional to 51,414.88, 76,983.19 and 33,601.16

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Solution

The fourth proportional to 51,414.88, 76,983.19 and 33,601.16 is: 50,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414.88 : 76,983.19 = 33,601.16 : x
  2. Step 2: Convert to fraction form
    51,414.88/76,983.19 = 33,601.16/x
  3. Step 3: Cross multiply
    51,414.88x = 76,983.19 × 33,601.16
  4. Step 4: Simplify right side
    51,414.88x = 2,586,724,484.50
  5. Step 5: Solve for x
    x = 2,586,724,484.50/51,414.88
  6. Step 6: Final answer
    x = 50,310.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.