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Finding the Fourth Proportional to 74,469.16, 111,709.16 and 27,722

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Solution

The fourth proportional to 74,469.16, 111,709.16 and 27,722 is: 41,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,469.16 : 111,709.16 = 27,722 : x
  2. Step 2: Convert to fraction form
    74,469.16/111,709.16 = 27,722/x
  3. Step 3: Cross multiply
    74,469.16x = 111,709.16 × 27,722
  4. Step 4: Simplify right side
    74,469.16x = 3,096,801,333.52
  5. Step 5: Solve for x
    x = 3,096,801,333.52/74,469.16
  6. Step 6: Final answer
    x = 41,585.02

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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.