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Finding the Fourth Proportional to 33,084.88, 49,634.82 and 10,900.48

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Solution

The fourth proportional to 33,084.88, 49,634.82 and 10,900.48 is: 16,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.88 : 49,634.82 = 10,900.48 : x
  2. Step 2: Convert to fraction form
    33,084.88/49,634.82 = 10,900.48/x
  3. Step 3: Cross multiply
    33,084.88x = 49,634.82 × 10,900.48
  4. Step 4: Simplify right side
    33,084.88x = 541,043,362.71
  5. Step 5: Solve for x
    x = 541,043,362.71/33,084.88
  6. Step 6: Final answer
    x = 16,353.19

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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.