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Finding the Fourth Proportional to 33,078.60, 49,546.62 and 15,522.12

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Solution

The fourth proportional to 33,078.60, 49,546.62 and 15,522.12 is: 23,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.60 : 49,546.62 = 15,522.12 : x
  2. Step 2: Convert to fraction form
    33,078.60/49,546.62 = 15,522.12/x
  3. Step 3: Cross multiply
    33,078.60x = 49,546.62 × 15,522.12
  4. Step 4: Simplify right side
    33,078.60x = 769,068,581.23
  5. Step 5: Solve for x
    x = 769,068,581.23/33,078.60
  6. Step 6: Final answer
    x = 23,249.73

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Why These Related Problems?

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