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Finding the Fourth Proportional to 36,206.19, 50,033.16 and 27,238.14

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Solution

The fourth proportional to 36,206.19, 50,033.16 and 27,238.14 is: 37,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.19 : 50,033.16 = 27,238.14 : x
  2. Step 2: Convert to fraction form
    36,206.19/50,033.16 = 27,238.14/x
  3. Step 3: Cross multiply
    36,206.19x = 50,033.16 × 27,238.14
  4. Step 4: Simplify right side
    36,206.19x = 1,362,810,216.72
  5. Step 5: Solve for x
    x = 1,362,810,216.72/36,206.19
  6. Step 6: Final answer
    x = 37,640.25

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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.