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Finding the Fourth Proportional to 33,141.64, 49,712.56 and 8,181.69

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Solution

The fourth proportional to 33,141.64, 49,712.56 and 8,181.69 is: 12,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.64 : 49,712.56 = 8,181.69 : x
  2. Step 2: Convert to fraction form
    33,141.64/49,712.56 = 8,181.69/x
  3. Step 3: Cross multiply
    33,141.64x = 49,712.56 × 8,181.69
  4. Step 4: Simplify right side
    33,141.64x = 406,732,706.61
  5. Step 5: Solve for x
    x = 406,732,706.61/33,141.64
  6. Step 6: Final answer
    x = 12,272.56

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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.