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Finding the Fourth Proportional to 33,394.86, 50,089.86 and 16,738.02

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Solution

The fourth proportional to 33,394.86, 50,089.86 and 16,738.02 is: 25,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394.86 : 50,089.86 = 16,738.02 : x
  2. Step 2: Convert to fraction form
    33,394.86/50,089.86 = 16,738.02/x
  3. Step 3: Cross multiply
    33,394.86x = 50,089.86 × 16,738.02
  4. Step 4: Simplify right side
    33,394.86x = 838,405,078.48
  5. Step 5: Solve for x
    x = 838,405,078.48/33,394.86
  6. Step 6: Final answer
    x = 25,105.81

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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.