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Finding the Fourth Proportional to 33,191.82, 49,777.56 and 9,497.70

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Solution

The fourth proportional to 33,191.82, 49,777.56 and 9,497.70 is: 14,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.82 : 49,777.56 = 9,497.70 : x
  2. Step 2: Convert to fraction form
    33,191.82/49,777.56 = 9,497.70/x
  3. Step 3: Cross multiply
    33,191.82x = 49,777.56 × 9,497.70
  4. Step 4: Simplify right side
    33,191.82x = 472,772,331.61
  5. Step 5: Solve for x
    x = 472,772,331.61/33,191.82
  6. Step 6: Final answer
    x = 14,243.64

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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.