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Finding the Fourth Proportional to 36,198.34, 49,952.31 and 20,281.99

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Solution

The fourth proportional to 36,198.34, 49,952.31 and 20,281.99 is: 27,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198.34 : 49,952.31 = 20,281.99 : x
  2. Step 2: Convert to fraction form
    36,198.34/49,952.31 = 20,281.99/x
  3. Step 3: Cross multiply
    36,198.34x = 49,952.31 × 20,281.99
  4. Step 4: Simplify right side
    36,198.34x = 1,013,132,251.90
  5. Step 5: Solve for x
    x = 1,013,132,251.90/36,198.34
  6. Step 6: Final answer
    x = 27,988.36

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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.