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Finding the Fourth Proportional to 33,638.46, 50,464.17 and 11,450.94

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Solution

The fourth proportional to 33,638.46, 50,464.17 and 11,450.94 is: 17,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.46 : 50,464.17 = 11,450.94 : x
  2. Step 2: Convert to fraction form
    33,638.46/50,464.17 = 11,450.94/x
  3. Step 3: Cross multiply
    33,638.46x = 50,464.17 × 11,450.94
  4. Step 4: Simplify right side
    33,638.46x = 577,862,182.82
  5. Step 5: Solve for x
    x = 577,862,182.82/33,638.46
  6. Step 6: Final answer
    x = 17,178.62

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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.