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Finding the Fourth Proportional to 33,494, 50,241 and 13,783.28

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Solution

The fourth proportional to 33,494, 50,241 and 13,783.28 is: 20,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494 : 50,241 = 13,783.28 : x
  2. Step 2: Convert to fraction form
    33,494/50,241 = 13,783.28/x
  3. Step 3: Cross multiply
    33,494x = 50,241 × 13,783.28
  4. Step 4: Simplify right side
    33,494x = 692,485,770.48
  5. Step 5: Solve for x
    x = 692,485,770.48/33,494
  6. Step 6: Final answer
    x = 20,674.92

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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.