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Finding the Fourth Proportional to 36,515.72, 50,393.22 and 23,082.14

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Solution

The fourth proportional to 36,515.72, 50,393.22 and 23,082.14 is: 31,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,515.72 : 50,393.22 = 23,082.14 : x
  2. Step 2: Convert to fraction form
    36,515.72/50,393.22 = 23,082.14/x
  3. Step 3: Cross multiply
    36,515.72x = 50,393.22 × 23,082.14
  4. Step 4: Simplify right side
    36,515.72x = 1,163,183,359.09
  5. Step 5: Solve for x
    x = 1,163,183,359.09/36,515.72
  6. Step 6: Final answer
    x = 31,854.32

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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.