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Finding the Fourth Proportional to 33,896.16, 50,846.84 and 11,406.95

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Solution

The fourth proportional to 33,896.16, 50,846.84 and 11,406.95 is: 17,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896.16 : 50,846.84 = 11,406.95 : x
  2. Step 2: Convert to fraction form
    33,896.16/50,846.84 = 11,406.95/x
  3. Step 3: Cross multiply
    33,896.16x = 50,846.84 × 11,406.95
  4. Step 4: Simplify right side
    33,896.16x = 580,007,453.61
  5. Step 5: Solve for x
    x = 580,007,453.61/33,896.16
  6. Step 6: Final answer
    x = 17,111.30

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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.