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Finding the Fourth Proportional to 35,896.20, 49,538.12 and 19,982.40

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Solution

The fourth proportional to 35,896.20, 49,538.12 and 19,982.40 is: 27,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.20 : 49,538.12 = 19,982.40 : x
  2. Step 2: Convert to fraction form
    35,896.20/49,538.12 = 19,982.40/x
  3. Step 3: Cross multiply
    35,896.20x = 49,538.12 × 19,982.40
  4. Step 4: Simplify right side
    35,896.20x = 989,890,529.09
  5. Step 5: Solve for x
    x = 989,890,529.09/35,896.20
  6. Step 6: Final answer
    x = 27,576.47

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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.