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Finding the Fourth Proportional to 33,678.39, 50,502.94 and 9,657.41

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Solution

The fourth proportional to 33,678.39, 50,502.94 and 9,657.41 is: 14,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678.39 : 50,502.94 = 9,657.41 : x
  2. Step 2: Convert to fraction form
    33,678.39/50,502.94 = 9,657.41/x
  3. Step 3: Cross multiply
    33,678.39x = 50,502.94 × 9,657.41
  4. Step 4: Simplify right side
    33,678.39x = 487,727,321.13
  5. Step 5: Solve for x
    x = 487,727,321.13/33,678.39
  6. Step 6: Final answer
    x = 14,481.91

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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.