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Finding the Fourth Proportional to 33,107.76, 49,656.32 and 9,086.45

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Solution

The fourth proportional to 33,107.76, 49,656.32 and 9,086.45 is: 13,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.76 : 49,656.32 = 9,086.45 : x
  2. Step 2: Convert to fraction form
    33,107.76/49,656.32 = 9,086.45/x
  3. Step 3: Cross multiply
    33,107.76x = 49,656.32 × 9,086.45
  4. Step 4: Simplify right side
    33,107.76x = 451,199,375.15
  5. Step 5: Solve for x
    x = 451,199,375.15/33,107.76
  6. Step 6: Final answer
    x = 13,628.21

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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.