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Finding the Fourth Proportional to 33,473.84, 50,235.92 and 12,433.28

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Solution

The fourth proportional to 33,473.84, 50,235.92 and 12,433.28 is: 18,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.84 : 50,235.92 = 12,433.28 : x
  2. Step 2: Convert to fraction form
    33,473.84/50,235.92 = 12,433.28/x
  3. Step 3: Cross multiply
    33,473.84x = 50,235.92 × 12,433.28
  4. Step 4: Simplify right side
    33,473.84x = 624,597,259.42
  5. Step 5: Solve for x
    x = 624,597,259.42/33,473.84
  6. Step 6: Final answer
    x = 18,659.27

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