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Finding the Fourth Proportional to 68,103.87, 102,165.32 and 23,724.10

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Solution

The fourth proportional to 68,103.87, 102,165.32 and 23,724.10 is: 35,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,103.87 : 102,165.32 = 23,724.10 : x
  2. Step 2: Convert to fraction form
    68,103.87/102,165.32 = 23,724.10/x
  3. Step 3: Cross multiply
    68,103.87x = 102,165.32 × 23,724.10
  4. Step 4: Simplify right side
    68,103.87x = 2,423,780,268.21
  5. Step 5: Solve for x
    x = 2,423,780,268.21/68,103.87
  6. Step 6: Final answer
    x = 35,589.46

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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.