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Finding the Fourth Proportional to 33,682.61, 50,510.02 and 11,497.78

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Solution

The fourth proportional to 33,682.61, 50,510.02 and 11,497.78 is: 17,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682.61 : 50,510.02 = 11,497.78 : x
  2. Step 2: Convert to fraction form
    33,682.61/50,510.02 = 11,497.78/x
  3. Step 3: Cross multiply
    33,682.61x = 50,510.02 × 11,497.78
  4. Step 4: Simplify right side
    33,682.61x = 580,752,942.74
  5. Step 5: Solve for x
    x = 580,752,942.74/33,682.61
  6. Step 6: Final answer
    x = 17,241.92

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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.