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Finding the Fourth Proportional to 33,224.64, 49,828.47 and 9,845.61

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Solution

The fourth proportional to 33,224.64, 49,828.47 and 9,845.61 is: 14,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.64 : 49,828.47 = 9,845.61 : x
  2. Step 2: Convert to fraction form
    33,224.64/49,828.47 = 9,845.61/x
  3. Step 3: Cross multiply
    33,224.64x = 49,828.47 × 9,845.61
  4. Step 4: Simplify right side
    33,224.64x = 490,591,682.52
  5. Step 5: Solve for x
    x = 490,591,682.52/33,224.64
  6. Step 6: Final answer
    x = 14,765.90

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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.