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Finding the Fourth Proportional to 36,082.30, 49,792.72 and 20,168.24

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Solution

The fourth proportional to 36,082.30, 49,792.72 and 20,168.24 is: 27,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,082.30 : 49,792.72 = 20,168.24 : x
  2. Step 2: Convert to fraction form
    36,082.30/49,792.72 = 20,168.24/x
  3. Step 3: Cross multiply
    36,082.30x = 49,792.72 × 20,168.24
  4. Step 4: Simplify right side
    36,082.30x = 1,004,231,527.21
  5. Step 5: Solve for x
    x = 1,004,231,527.21/36,082.30
  6. Step 6: Final answer
    x = 27,831.69

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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.