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Finding the Fourth Proportional to 33,537.16, 50,229.15 and 16,019.38

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Solution

The fourth proportional to 33,537.16, 50,229.15 and 16,019.38 is: 23,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.16 : 50,229.15 = 16,019.38 : x
  2. Step 2: Convert to fraction form
    33,537.16/50,229.15 = 16,019.38/x
  3. Step 3: Cross multiply
    33,537.16x = 50,229.15 × 16,019.38
  4. Step 4: Simplify right side
    33,537.16x = 804,639,840.93
  5. Step 5: Solve for x
    x = 804,639,840.93/33,537.16
  6. Step 6: Final answer
    x = 23,992.49

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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.