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Finding the Fourth Proportional to 49,057.85, 67,701.93 and 27,839.09

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Solution

The fourth proportional to 49,057.85, 67,701.93 and 27,839.09 is: 38,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057.85 : 67,701.93 = 27,839.09 : x
  2. Step 2: Convert to fraction form
    49,057.85/67,701.93 = 27,839.09/x
  3. Step 3: Cross multiply
    49,057.85x = 67,701.93 × 27,839.09
  4. Step 4: Simplify right side
    49,057.85x = 1,884,760,187.30
  5. Step 5: Solve for x
    x = 1,884,760,187.30/49,057.85
  6. Step 6: Final answer
    x = 38,419.13

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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.