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Finding the Fourth Proportional to 33,082.40, 49,617.72 and 10,896.08

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Solution

The fourth proportional to 33,082.40, 49,617.72 and 10,896.08 is: 16,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.40 : 49,617.72 = 10,896.08 : x
  2. Step 2: Convert to fraction form
    33,082.40/49,617.72 = 10,896.08/x
  3. Step 3: Cross multiply
    33,082.40x = 49,617.72 × 10,896.08
  4. Step 4: Simplify right side
    33,082.40x = 540,638,646.54
  5. Step 5: Solve for x
    x = 540,638,646.54/33,082.40
  6. Step 6: Final answer
    x = 16,342.18

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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.