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Finding the Fourth Proportional to 33,757.76, 50,583 and 22,623.32

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Solution

The fourth proportional to 33,757.76, 50,583 and 22,623.32 is: 33,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,757.76 : 50,583 = 22,623.32 : x
  2. Step 2: Convert to fraction form
    33,757.76/50,583 = 22,623.32/x
  3. Step 3: Cross multiply
    33,757.76x = 50,583 × 22,623.32
  4. Step 4: Simplify right side
    33,757.76x = 1,144,355,395.56
  5. Step 5: Solve for x
    x = 1,144,355,395.56/33,757.76
  6. Step 6: Final answer
    x = 33,899.03

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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.