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Finding the Fourth Proportional to 36,013.83, 49,678.97 and 27,943.80

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Solution

The fourth proportional to 36,013.83, 49,678.97 and 27,943.80 is: 38,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013.83 : 49,678.97 = 27,943.80 : x
  2. Step 2: Convert to fraction form
    36,013.83/49,678.97 = 27,943.80/x
  3. Step 3: Cross multiply
    36,013.83x = 49,678.97 × 27,943.80
  4. Step 4: Simplify right side
    36,013.83x = 1,388,219,062.17
  5. Step 5: Solve for x
    x = 1,388,219,062.17/36,013.83
  6. Step 6: Final answer
    x = 38,546.83

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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.