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Finding the Fourth Proportional to 36,194.01, 49,949.78 and 20,283.59

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Solution

The fourth proportional to 36,194.01, 49,949.78 and 20,283.59 is: 27,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,194.01 : 49,949.78 = 20,283.59 : x
  2. Step 2: Convert to fraction form
    36,194.01/49,949.78 = 20,283.59/x
  3. Step 3: Cross multiply
    36,194.01x = 49,949.78 × 20,283.59
  4. Step 4: Simplify right side
    36,194.01x = 1,013,160,506.94
  5. Step 5: Solve for x
    x = 1,013,160,506.94/36,194.01
  6. Step 6: Final answer
    x = 27,992.49

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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.