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Finding the Fourth Proportional to 68,474, 102,719.64 and 23,504.12

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Solution

The fourth proportional to 68,474, 102,719.64 and 23,504.12 is: 35,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474 : 102,719.64 = 23,504.12 : x
  2. Step 2: Convert to fraction form
    68,474/102,719.64 = 23,504.12/x
  3. Step 3: Cross multiply
    68,474x = 102,719.64 × 23,504.12
  4. Step 4: Simplify right side
    68,474x = 2,414,334,744.92
  5. Step 5: Solve for x
    x = 2,414,334,744.92/68,474
  6. Step 6: Final answer
    x = 35,259.15

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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.