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Finding the Fourth Proportional to 36,085.82, 49,796.42 and 19,952.20

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Solution

The fourth proportional to 36,085.82, 49,796.42 and 19,952.20 is: 27,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.82 : 49,796.42 = 19,952.20 : x
  2. Step 2: Convert to fraction form
    36,085.82/49,796.42 = 19,952.20/x
  3. Step 3: Cross multiply
    36,085.82x = 49,796.42 × 19,952.20
  4. Step 4: Simplify right side
    36,085.82x = 993,548,131.12
  5. Step 5: Solve for x
    x = 993,548,131.12/36,085.82
  6. Step 6: Final answer
    x = 27,532.92

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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.