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Finding the Fourth Proportional to 33,184.80, 49,803.12 and 12,414.24

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Solution

The fourth proportional to 33,184.80, 49,803.12 and 12,414.24 is: 18,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.80 : 49,803.12 = 12,414.24 : x
  2. Step 2: Convert to fraction form
    33,184.80/49,803.12 = 12,414.24/x
  3. Step 3: Cross multiply
    33,184.80x = 49,803.12 × 12,414.24
  4. Step 4: Simplify right side
    33,184.80x = 618,267,884.43
  5. Step 5: Solve for x
    x = 618,267,884.43/33,184.80
  6. Step 6: Final answer
    x = 18,631.06

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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.