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Finding the Fourth Proportional to 74,614.77, 111,918.51 and 27,864

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Solution

The fourth proportional to 74,614.77, 111,918.51 and 27,864 is: 41,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.77 : 111,918.51 = 27,864 : x
  2. Step 2: Convert to fraction form
    74,614.77/111,918.51 = 27,864/x
  3. Step 3: Cross multiply
    74,614.77x = 111,918.51 × 27,864
  4. Step 4: Simplify right side
    74,614.77x = 3,118,497,362.64
  5. Step 5: Solve for x
    x = 3,118,497,362.64/74,614.77
  6. Step 6: Final answer
    x = 41,794.64

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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.