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Finding the Fourth Proportional to 33,502.95, 50,255.82 and 11,318.58

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Solution

The fourth proportional to 33,502.95, 50,255.82 and 11,318.58 is: 16,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502.95 : 50,255.82 = 11,318.58 : x
  2. Step 2: Convert to fraction form
    33,502.95/50,255.82 = 11,318.58/x
  3. Step 3: Cross multiply
    33,502.95x = 50,255.82 × 11,318.58
  4. Step 4: Simplify right side
    33,502.95x = 568,824,519.14
  5. Step 5: Solve for x
    x = 568,824,519.14/33,502.95
  6. Step 6: Final answer
    x = 16,978.34

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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.