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Finding the Fourth Proportional to 69,183.48, 103,817.22 and 27,627

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Solution

The fourth proportional to 69,183.48, 103,817.22 and 27,627 is: 41,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,183.48 : 103,817.22 = 27,627 : x
  2. Step 2: Convert to fraction form
    69,183.48/103,817.22 = 27,627/x
  3. Step 3: Cross multiply
    69,183.48x = 103,817.22 × 27,627
  4. Step 4: Simplify right side
    69,183.48x = 2,868,158,336.94
  5. Step 5: Solve for x
    x = 2,868,158,336.94/69,183.48
  6. Step 6: Final answer
    x = 41,457.27

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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.