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Finding the Fourth Proportional to 33,069.77, 49,612.90 and 9,696.21

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Solution

The fourth proportional to 33,069.77, 49,612.90 and 9,696.21 is: 14,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069.77 : 49,612.90 = 9,696.21 : x
  2. Step 2: Convert to fraction form
    33,069.77/49,612.90 = 9,696.21/x
  3. Step 3: Cross multiply
    33,069.77x = 49,612.90 × 9,696.21
  4. Step 4: Simplify right side
    33,069.77x = 481,057,102.08
  5. Step 5: Solve for x
    x = 481,057,102.08/33,069.77
  6. Step 6: Final answer
    x = 14,546.73

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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.