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Finding the Fourth Proportional to 33,684.59, 46,503.72 and 22,369.57

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Solution

The fourth proportional to 33,684.59, 46,503.72 and 22,369.57 is: 30,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.59 : 46,503.72 = 22,369.57 : x
  2. Step 2: Convert to fraction form
    33,684.59/46,503.72 = 22,369.57/x
  3. Step 3: Cross multiply
    33,684.59x = 46,503.72 × 22,369.57
  4. Step 4: Simplify right side
    33,684.59x = 1,040,268,103.54
  5. Step 5: Solve for x
    x = 1,040,268,103.54/33,684.59
  6. Step 6: Final answer
    x = 30,882.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.