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Finding the Fourth Proportional to 33,414.84, 50,123.48 and 11,228.94

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Solution

The fourth proportional to 33,414.84, 50,123.48 and 11,228.94 is: 16,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.84 : 50,123.48 = 11,228.94 : x
  2. Step 2: Convert to fraction form
    33,414.84/50,123.48 = 11,228.94/x
  3. Step 3: Cross multiply
    33,414.84x = 50,123.48 × 11,228.94
  4. Step 4: Simplify right side
    33,414.84x = 562,833,493.37
  5. Step 5: Solve for x
    x = 562,833,493.37/33,414.84
  6. Step 6: Final answer
    x = 16,843.82

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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.