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Finding the Fourth Proportional to 68,272.62, 102,388.14 and 23,891.10

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Solution

The fourth proportional to 68,272.62, 102,388.14 and 23,891.10 is: 35,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,272.62 : 102,388.14 = 23,891.10 : x
  2. Step 2: Convert to fraction form
    68,272.62/102,388.14 = 23,891.10/x
  3. Step 3: Cross multiply
    68,272.62x = 102,388.14 × 23,891.10
  4. Step 4: Simplify right side
    68,272.62x = 2,446,165,291.55
  5. Step 5: Solve for x
    x = 2,446,165,291.55/68,272.62
  6. Step 6: Final answer
    x = 35,829.37

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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.