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Finding the Fourth Proportional to 33,166.32, 49,766.76 and 14,694

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Solution

The fourth proportional to 33,166.32, 49,766.76 and 14,694 is: 22,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.32 : 49,766.76 = 14,694 : x
  2. Step 2: Convert to fraction form
    33,166.32/49,766.76 = 14,694/x
  3. Step 3: Cross multiply
    33,166.32x = 49,766.76 × 14,694
  4. Step 4: Simplify right side
    33,166.32x = 731,272,771.44
  5. Step 5: Solve for x
    x = 731,272,771.44/33,166.32
  6. Step 6: Final answer
    x = 22,048.66

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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.