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Finding the Fourth Proportional to 33,223.64, 49,826.96 and 9,844.62

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Solution

The fourth proportional to 33,223.64, 49,826.96 and 9,844.62 is: 14,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.64 : 49,826.96 = 9,844.62 : x
  2. Step 2: Convert to fraction form
    33,223.64/49,826.96 = 9,844.62/x
  3. Step 3: Cross multiply
    33,223.64x = 49,826.96 × 9,844.62
  4. Step 4: Simplify right side
    33,223.64x = 490,527,486.96
  5. Step 5: Solve for x
    x = 490,527,486.96/33,223.64
  6. Step 6: Final answer
    x = 14,764.41

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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.