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Finding the Fourth Proportional to 68,179.60, 102,227.64 and 26,578

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Solution

The fourth proportional to 68,179.60, 102,227.64 and 26,578 is: 39,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,179.60 : 102,227.64 = 26,578 : x
  2. Step 2: Convert to fraction form
    68,179.60/102,227.64 = 26,578/x
  3. Step 3: Cross multiply
    68,179.60x = 102,227.64 × 26,578
  4. Step 4: Simplify right side
    68,179.60x = 2,717,006,215.92
  5. Step 5: Solve for x
    x = 2,717,006,215.92/68,179.60
  6. Step 6: Final answer
    x = 39,850.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.