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Finding the Fourth Proportional to 68,114.88, 102,190.68 and 23,744.16

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Solution

The fourth proportional to 68,114.88, 102,190.68 and 23,744.16 is: 35,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.88 : 102,190.68 = 23,744.16 : x
  2. Step 2: Convert to fraction form
    68,114.88/102,190.68 = 23,744.16/x
  3. Step 3: Cross multiply
    68,114.88x = 102,190.68 × 23,744.16
  4. Step 4: Simplify right side
    68,114.88x = 2,426,431,856.43
  5. Step 5: Solve for x
    x = 2,426,431,856.43/68,114.88
  6. Step 6: Final answer
    x = 35,622.64

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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.