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Finding the Fourth Proportional to 107,884.88, 161,896.44 and 52,450.64

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Solution

The fourth proportional to 107,884.88, 161,896.44 and 52,450.64 is: 78,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,884.88 : 161,896.44 = 52,450.64 : x
  2. Step 2: Convert to fraction form
    107,884.88/161,896.44 = 52,450.64/x
  3. Step 3: Cross multiply
    107,884.88x = 161,896.44 × 52,450.64
  4. Step 4: Simplify right side
    107,884.88x = 8,491,571,891.72
  5. Step 5: Solve for x
    x = 8,491,571,891.72/107,884.88
  6. Step 6: Final answer
    x = 78,709.56

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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.