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Finding the Fourth Proportional to 33,194, 49,791.10 and 8,570

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Solution

The fourth proportional to 33,194, 49,791.10 and 8,570 is: 12,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194 : 49,791.10 = 8,570 : x
  2. Step 2: Convert to fraction form
    33,194/49,791.10 = 8,570/x
  3. Step 3: Cross multiply
    33,194x = 49,791.10 × 8,570
  4. Step 4: Simplify right side
    33,194x = 426,709,727
  5. Step 5: Solve for x
    x = 426,709,727/33,194
  6. Step 6: Final answer
    x = 12,855.03

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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.