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Finding the Fourth Proportional to 33,903, 50,857.40 and 8,942.84

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Solution

The fourth proportional to 33,903, 50,857.40 and 8,942.84 is: 13,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,903 : 50,857.40 = 8,942.84 : x
  2. Step 2: Convert to fraction form
    33,903/50,857.40 = 8,942.84/x
  3. Step 3: Cross multiply
    33,903x = 50,857.40 × 8,942.84
  4. Step 4: Simplify right side
    33,903x = 454,809,591.02
  5. Step 5: Solve for x
    x = 454,809,591.02/33,903
  6. Step 6: Final answer
    x = 13,415.02

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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.