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Finding the Fourth Proportional to 33,092.48, 49,645.60 and 9,716.80

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Solution

The fourth proportional to 33,092.48, 49,645.60 and 9,716.80 is: 14,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092.48 : 49,645.60 = 9,716.80 : x
  2. Step 2: Convert to fraction form
    33,092.48/49,645.60 = 9,716.80/x
  3. Step 3: Cross multiply
    33,092.48x = 49,645.60 × 9,716.80
  4. Step 4: Simplify right side
    33,092.48x = 482,396,366.08
  5. Step 5: Solve for x
    x = 482,396,366.08/33,092.48
  6. Step 6: Final answer
    x = 14,577.22

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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.