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Finding the Fourth Proportional to 74,640.66, 111,918.87 and 27,874.50

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Solution

The fourth proportional to 74,640.66, 111,918.87 and 27,874.50 is: 41,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,640.66 : 111,918.87 = 27,874.50 : x
  2. Step 2: Convert to fraction form
    74,640.66/111,918.87 = 27,874.50/x
  3. Step 3: Cross multiply
    74,640.66x = 111,918.87 × 27,874.50
  4. Step 4: Simplify right side
    74,640.66x = 3,119,682,541.82
  5. Step 5: Solve for x
    x = 3,119,682,541.82/74,640.66
  6. Step 6: Final answer
    x = 41,796.02

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Why These Related Problems?

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