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Finding the Fourth Proportional to 36,022, 49,716.12 and 21,118

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Solution

The fourth proportional to 36,022, 49,716.12 and 21,118 is: 29,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022 : 49,716.12 = 21,118 : x
  2. Step 2: Convert to fraction form
    36,022/49,716.12 = 21,118/x
  3. Step 3: Cross multiply
    36,022x = 49,716.12 × 21,118
  4. Step 4: Simplify right side
    36,022x = 1,049,905,022.16
  5. Step 5: Solve for x
    x = 1,049,905,022.16/36,022
  6. Step 6: Final answer
    x = 29,146.22

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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.