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Finding the Fourth Proportional to 33,082.95, 49,624.10 and 13,361.24

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Solution

The fourth proportional to 33,082.95, 49,624.10 and 13,361.24 is: 20,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.95 : 49,624.10 = 13,361.24 : x
  2. Step 2: Convert to fraction form
    33,082.95/49,624.10 = 13,361.24/x
  3. Step 3: Cross multiply
    33,082.95x = 49,624.10 × 13,361.24
  4. Step 4: Simplify right side
    33,082.95x = 663,039,194.96
  5. Step 5: Solve for x
    x = 663,039,194.96/33,082.95
  6. Step 6: Final answer
    x = 20,041.72

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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.