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Finding the Fourth Proportional to 33,083.92, 49,623.96 and 8,458

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Solution

The fourth proportional to 33,083.92, 49,623.96 and 8,458 is: 12,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.92 : 49,623.96 = 8,458 : x
  2. Step 2: Convert to fraction form
    33,083.92/49,623.96 = 8,458/x
  3. Step 3: Cross multiply
    33,083.92x = 49,623.96 × 8,458
  4. Step 4: Simplify right side
    33,083.92x = 419,719,453.68
  5. Step 5: Solve for x
    x = 419,719,453.68/33,083.92
  6. Step 6: Final answer
    x = 12,686.51

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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.