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Finding the Fourth Proportional to 33,387.08, 50,082.24 and 27,533

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Solution

The fourth proportional to 33,387.08, 50,082.24 and 27,533 is: 41,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387.08 : 50,082.24 = 27,533 : x
  2. Step 2: Convert to fraction form
    33,387.08/50,082.24 = 27,533/x
  3. Step 3: Cross multiply
    33,387.08x = 50,082.24 × 27,533
  4. Step 4: Simplify right side
    33,387.08x = 1,378,914,313.92
  5. Step 5: Solve for x
    x = 1,378,914,313.92/33,387.08
  6. Step 6: Final answer
    x = 41,300.84

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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.