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Finding the Fourth Proportional to 33,166.49, 49,716.97 and 13,432.55

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Solution

The fourth proportional to 33,166.49, 49,716.97 and 13,432.55 is: 20,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.49 : 49,716.97 = 13,432.55 : x
  2. Step 2: Convert to fraction form
    33,166.49/49,716.97 = 13,432.55/x
  3. Step 3: Cross multiply
    33,166.49x = 49,716.97 × 13,432.55
  4. Step 4: Simplify right side
    33,166.49x = 667,825,403.21
  5. Step 5: Solve for x
    x = 667,825,403.21/33,166.49
  6. Step 6: Final answer
    x = 20,135.55

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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.