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Finding the Fourth Proportional to 33,384.66, 50,083.70 and 12,324.84

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Solution

The fourth proportional to 33,384.66, 50,083.70 and 12,324.84 is: 18,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.66 : 50,083.70 = 12,324.84 : x
  2. Step 2: Convert to fraction form
    33,384.66/50,083.70 = 12,324.84/x
  3. Step 3: Cross multiply
    33,384.66x = 50,083.70 × 12,324.84
  4. Step 4: Simplify right side
    33,384.66x = 617,273,589.11
  5. Step 5: Solve for x
    x = 617,273,589.11/33,384.66
  6. Step 6: Final answer
    x = 18,489.74

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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.