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Finding the Fourth Proportional to 36,516, 50,392.14 and 20,163.21

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Solution

The fourth proportional to 36,516, 50,392.14 and 20,163.21 is: 27,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516 : 50,392.14 = 20,163.21 : x
  2. Step 2: Convert to fraction form
    36,516/50,392.14 = 20,163.21/x
  3. Step 3: Cross multiply
    36,516x = 50,392.14 × 20,163.21
  4. Step 4: Simplify right side
    36,516x = 1,016,067,301.17
  5. Step 5: Solve for x
    x = 1,016,067,301.17/36,516
  6. Step 6: Final answer
    x = 27,825.26

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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.