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Finding the Fourth Proportional to 27,082.71, 40,623.89 and 7,361.19

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Solution

The fourth proportional to 27,082.71, 40,623.89 and 7,361.19 is: 11,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.71 : 40,623.89 = 7,361.19 : x
  2. Step 2: Convert to fraction form
    27,082.71/40,623.89 = 7,361.19/x
  3. Step 3: Cross multiply
    27,082.71x = 40,623.89 × 7,361.19
  4. Step 4: Simplify right side
    27,082.71x = 299,040,136.02
  5. Step 5: Solve for x
    x = 299,040,136.02/27,082.71
  6. Step 6: Final answer
    x = 11,041.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.