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Finding the Fourth Proportional to 33,537.66, 50,229.90 and 16,019.88

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Solution

The fourth proportional to 33,537.66, 50,229.90 and 16,019.88 is: 23,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.66 : 50,229.90 = 16,019.88 : x
  2. Step 2: Convert to fraction form
    33,537.66/50,229.90 = 16,019.88/x
  3. Step 3: Cross multiply
    33,537.66x = 50,229.90 × 16,019.88
  4. Step 4: Simplify right side
    33,537.66x = 804,676,970.41
  5. Step 5: Solve for x
    x = 804,676,970.41/33,537.66
  6. Step 6: Final answer
    x = 23,993.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.