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Finding the Fourth Proportional to 33,719.20, 50,578.80 and 11,533.30

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Solution

The fourth proportional to 33,719.20, 50,578.80 and 11,533.30 is: 17,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,719.20 : 50,578.80 = 11,533.30 : x
  2. Step 2: Convert to fraction form
    33,719.20/50,578.80 = 11,533.30/x
  3. Step 3: Cross multiply
    33,719.20x = 50,578.80 × 11,533.30
  4. Step 4: Simplify right side
    33,719.20x = 583,340,474.04
  5. Step 5: Solve for x
    x = 583,340,474.04/33,719.20
  6. Step 6: Final answer
    x = 17,299.95

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Why These Related Problems?

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