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Finding the Fourth Proportional to 33,141.59, 49,712.66 and 9,449.09

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Solution

The fourth proportional to 33,141.59, 49,712.66 and 9,449.09 is: 14,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.59 : 49,712.66 = 9,449.09 : x
  2. Step 2: Convert to fraction form
    33,141.59/49,712.66 = 9,449.09/x
  3. Step 3: Cross multiply
    33,141.59x = 49,712.66 × 9,449.09
  4. Step 4: Simplify right side
    33,141.59x = 469,739,173.54
  5. Step 5: Solve for x
    x = 469,739,173.54/33,141.59
  6. Step 6: Final answer
    x = 14,173.71

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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.