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Finding the Fourth Proportional to 68,046.89, 102,087.07 and 23,674.02

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Solution

The fourth proportional to 68,046.89, 102,087.07 and 23,674.02 is: 35,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.89 : 102,087.07 = 23,674.02 : x
  2. Step 2: Convert to fraction form
    68,046.89/102,087.07 = 23,674.02/x
  3. Step 3: Cross multiply
    68,046.89x = 102,087.07 × 23,674.02
  4. Step 4: Simplify right side
    68,046.89x = 2,416,811,336.92
  5. Step 5: Solve for x
    x = 2,416,811,336.92/68,046.89
  6. Step 6: Final answer
    x = 35,516.85

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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.