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Finding the Fourth Proportional to 33,022.40, 49,535.04 and 10,835.68

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Solution

The fourth proportional to 33,022.40, 49,535.04 and 10,835.68 is: 16,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.40 : 49,535.04 = 10,835.68 : x
  2. Step 2: Convert to fraction form
    33,022.40/49,535.04 = 10,835.68/x
  3. Step 3: Cross multiply
    33,022.40x = 49,535.04 × 10,835.68
  4. Step 4: Simplify right side
    33,022.40x = 536,745,842.23
  5. Step 5: Solve for x
    x = 536,745,842.23/33,022.40
  6. Step 6: Final answer
    x = 16,253.99

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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.