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Finding the Fourth Proportional to 33,076.71, 49,596.38 and 10,884.13

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Solution

The fourth proportional to 33,076.71, 49,596.38 and 10,884.13 is: 16,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.71 : 49,596.38 = 10,884.13 : x
  2. Step 2: Convert to fraction form
    33,076.71/49,596.38 = 10,884.13/x
  3. Step 3: Cross multiply
    33,076.71x = 49,596.38 × 10,884.13
  4. Step 4: Simplify right side
    33,076.71x = 539,813,447.45
  5. Step 5: Solve for x
    x = 539,813,447.45/33,076.71
  6. Step 6: Final answer
    x = 16,320.05

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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.