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Finding the Fourth Proportional to 74,546.72, 111,839.52 and 27,800

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Solution

The fourth proportional to 74,546.72, 111,839.52 and 27,800 is: 41,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,546.72 : 111,839.52 = 27,800 : x
  2. Step 2: Convert to fraction form
    74,546.72/111,839.52 = 27,800/x
  3. Step 3: Cross multiply
    74,546.72x = 111,839.52 × 27,800
  4. Step 4: Simplify right side
    74,546.72x = 3,109,138,656
  5. Step 5: Solve for x
    x = 3,109,138,656/74,546.72
  6. Step 6: Final answer
    x = 41,707.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.