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Finding the Fourth Proportional to 33,833.95, 50,754.33 and 11,644.40

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Solution

The fourth proportional to 33,833.95, 50,754.33 and 11,644.40 is: 17,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.95 : 50,754.33 = 11,644.40 : x
  2. Step 2: Convert to fraction form
    33,833.95/50,754.33 = 11,644.40/x
  3. Step 3: Cross multiply
    33,833.95x = 50,754.33 × 11,644.40
  4. Step 4: Simplify right side
    33,833.95x = 591,003,720.25
  5. Step 5: Solve for x
    x = 591,003,720.25/33,833.95
  6. Step 6: Final answer
    x = 17,467.77

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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.