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Finding the Fourth Proportional to 33,220.53, 49,822.29 and 9,841.50

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Solution

The fourth proportional to 33,220.53, 49,822.29 and 9,841.50 is: 14,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.53 : 49,822.29 = 9,841.50 : x
  2. Step 2: Convert to fraction form
    33,220.53/49,822.29 = 9,841.50/x
  3. Step 3: Cross multiply
    33,220.53x = 49,822.29 × 9,841.50
  4. Step 4: Simplify right side
    33,220.53x = 490,326,067.04
  5. Step 5: Solve for x
    x = 490,326,067.04/33,220.53
  6. Step 6: Final answer
    x = 14,759.73

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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.