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Finding the Fourth Proportional to 33,082.51, 49,622.95 and 8,122.36

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Solution

The fourth proportional to 33,082.51, 49,622.95 and 8,122.36 is: 12,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.51 : 49,622.95 = 8,122.36 : x
  2. Step 2: Convert to fraction form
    33,082.51/49,622.95 = 8,122.36/x
  3. Step 3: Cross multiply
    33,082.51x = 49,622.95 × 8,122.36
  4. Step 4: Simplify right side
    33,082.51x = 403,055,319.80
  5. Step 5: Solve for x
    x = 403,055,319.80/33,082.51
  6. Step 6: Final answer
    x = 12,183.34

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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.