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Finding the Fourth Proportional to 33,689.94, 50,469.24 and 20,509.62

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Solution

The fourth proportional to 33,689.94, 50,469.24 and 20,509.62 is: 30,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.94 : 50,469.24 = 20,509.62 : x
  2. Step 2: Convert to fraction form
    33,689.94/50,469.24 = 20,509.62/x
  3. Step 3: Cross multiply
    33,689.94x = 50,469.24 × 20,509.62
  4. Step 4: Simplify right side
    33,689.94x = 1,035,104,934.09
  5. Step 5: Solve for x
    x = 1,035,104,934.09/33,689.94
  6. Step 6: Final answer
    x = 30,724.45

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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.