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Finding the Fourth Proportional to 33,163.94, 49,662.60 and 19,828.64

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Solution

The fourth proportional to 33,163.94, 49,662.60 and 19,828.64 is: 29,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.94 : 49,662.60 = 19,828.64 : x
  2. Step 2: Convert to fraction form
    33,163.94/49,662.60 = 19,828.64/x
  3. Step 3: Cross multiply
    33,163.94x = 49,662.60 × 19,828.64
  4. Step 4: Simplify right side
    33,163.94x = 984,741,816.86
  5. Step 5: Solve for x
    x = 984,741,816.86/33,163.94
  6. Step 6: Final answer
    x = 29,693.15

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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.