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Finding the Fourth Proportional to 33,212.08, 49,818 and 9,836.68

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Solution

The fourth proportional to 33,212.08, 49,818 and 9,836.68 is: 14,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.08 : 49,818 = 9,836.68 : x
  2. Step 2: Convert to fraction form
    33,212.08/49,818 = 9,836.68/x
  3. Step 3: Cross multiply
    33,212.08x = 49,818 × 9,836.68
  4. Step 4: Simplify right side
    33,212.08x = 490,043,724.24
  5. Step 5: Solve for x
    x = 490,043,724.24/33,212.08
  6. Step 6: Final answer
    x = 14,754.98

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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.