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Finding the Fourth Proportional to 33,994.16, 50,917.30 and 16,427

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Solution

The fourth proportional to 33,994.16, 50,917.30 and 16,427 is: 24,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.16 : 50,917.30 = 16,427 : x
  2. Step 2: Convert to fraction form
    33,994.16/50,917.30 = 16,427/x
  3. Step 3: Cross multiply
    33,994.16x = 50,917.30 × 16,427
  4. Step 4: Simplify right side
    33,994.16x = 836,418,487.10
  5. Step 5: Solve for x
    x = 836,418,487.10/33,994.16
  6. Step 6: Final answer
    x = 24,604.77

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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.