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Finding the Fourth Proportional to 33,034.24, 49,551.68 and 8,410.24

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Solution

The fourth proportional to 33,034.24, 49,551.68 and 8,410.24 is: 12,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.24 : 49,551.68 = 8,410.24 : x
  2. Step 2: Convert to fraction form
    33,034.24/49,551.68 = 8,410.24/x
  3. Step 3: Cross multiply
    33,034.24x = 49,551.68 × 8,410.24
  4. Step 4: Simplify right side
    33,034.24x = 416,741,521.20
  5. Step 5: Solve for x
    x = 416,741,521.20/33,034.24
  6. Step 6: Final answer
    x = 12,615.44

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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.