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Finding the Fourth Proportional to 33,082.65, 45,664.74 and 21,178.08

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Solution

The fourth proportional to 33,082.65, 45,664.74 and 21,178.08 is: 29,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.65 : 45,664.74 = 21,178.08 : x
  2. Step 2: Convert to fraction form
    33,082.65/45,664.74 = 21,178.08/x
  3. Step 3: Cross multiply
    33,082.65x = 45,664.74 × 21,178.08
  4. Step 4: Simplify right side
    33,082.65x = 967,091,516.90
  5. Step 5: Solve for x
    x = 967,091,516.90/33,082.65
  6. Step 6: Final answer
    x = 29,232.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.