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Finding the Fourth Proportional to 35,882.85, 49,517.67 and 19,967.16

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Solution

The fourth proportional to 35,882.85, 49,517.67 and 19,967.16 is: 27,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.85 : 49,517.67 = 19,967.16 : x
  2. Step 2: Convert to fraction form
    35,882.85/49,517.67 = 19,967.16/x
  3. Step 3: Cross multiply
    35,882.85x = 49,517.67 × 19,967.16
  4. Step 4: Simplify right side
    35,882.85x = 988,726,992.13
  5. Step 5: Solve for x
    x = 988,726,992.13/35,882.85
  6. Step 6: Final answer
    x = 27,554.31

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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.