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Finding the Fourth Proportional to 35,647.97, 49,194 and 19,732.37

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Solution

The fourth proportional to 35,647.97, 49,194 and 19,732.37 is: 27,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.97 : 49,194 = 19,732.37 : x
  2. Step 2: Convert to fraction form
    35,647.97/49,194 = 19,732.37/x
  3. Step 3: Cross multiply
    35,647.97x = 49,194 × 19,732.37
  4. Step 4: Simplify right side
    35,647.97x = 970,713,963.81
  5. Step 5: Solve for x
    x = 970,713,963.81/35,647.97
  6. Step 6: Final answer
    x = 27,230.56

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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.