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Finding the Fourth Proportional to 33,228.64, 49,834.44 and 9,849.61

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Solution

The fourth proportional to 33,228.64, 49,834.44 and 9,849.61 is: 14,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.64 : 49,834.44 = 9,849.61 : x
  2. Step 2: Convert to fraction form
    33,228.64/49,834.44 = 9,849.61/x
  3. Step 3: Cross multiply
    33,228.64x = 49,834.44 × 9,849.61
  4. Step 4: Simplify right side
    33,228.64x = 490,849,798.57
  5. Step 5: Solve for x
    x = 490,849,798.57/33,228.64
  6. Step 6: Final answer
    x = 14,771.89

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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.