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Finding the Fourth Proportional to 51,576.94, 77,234.10 and 33,993.46

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Solution

The fourth proportional to 51,576.94, 77,234.10 and 33,993.46 is: 50,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576.94 : 77,234.10 = 33,993.46 : x
  2. Step 2: Convert to fraction form
    51,576.94/77,234.10 = 33,993.46/x
  3. Step 3: Cross multiply
    51,576.94x = 77,234.10 × 33,993.46
  4. Step 4: Simplify right side
    51,576.94x = 2,625,454,288.99
  5. Step 5: Solve for x
    x = 2,625,454,288.99/51,576.94
  6. Step 6: Final answer
    x = 50,903.65

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