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Finding the Fourth Proportional to 33,963.66, 50,946.09 and 11,777.82

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Solution

The fourth proportional to 33,963.66, 50,946.09 and 11,777.82 is: 17,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.66 : 50,946.09 = 11,777.82 : x
  2. Step 2: Convert to fraction form
    33,963.66/50,946.09 = 11,777.82/x
  3. Step 3: Cross multiply
    33,963.66x = 50,946.09 × 11,777.82
  4. Step 4: Simplify right side
    33,963.66x = 600,033,877.72
  5. Step 5: Solve for x
    x = 600,033,877.72/33,963.66
  6. Step 6: Final answer
    x = 17,666.94

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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.