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Finding the Fourth Proportional to 33,215.84, 49,815.25 and 9,836.81

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Solution

The fourth proportional to 33,215.84, 49,815.25 and 9,836.81 is: 14,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.84 : 49,815.25 = 9,836.81 : x
  2. Step 2: Convert to fraction form
    33,215.84/49,815.25 = 9,836.81/x
  3. Step 3: Cross multiply
    33,215.84x = 49,815.25 × 9,836.81
  4. Step 4: Simplify right side
    33,215.84x = 490,023,249.30
  5. Step 5: Solve for x
    x = 490,023,249.30/33,215.84
  6. Step 6: Final answer
    x = 14,752.70

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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.