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Finding the Fourth Proportional to 68,147.26, 102,183.81 and 23,762.14

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Solution

The fourth proportional to 68,147.26, 102,183.81 and 23,762.14 is: 35,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147.26 : 102,183.81 = 23,762.14 : x
  2. Step 2: Convert to fraction form
    68,147.26/102,183.81 = 23,762.14/x
  3. Step 3: Cross multiply
    68,147.26x = 102,183.81 × 23,762.14
  4. Step 4: Simplify right side
    68,147.26x = 2,428,105,998.95
  5. Step 5: Solve for x
    x = 2,428,105,998.95/68,147.26
  6. Step 6: Final answer
    x = 35,630.28

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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.