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Finding the Fourth Proportional to 33,023.70, 49,535.01 and 8,063.82

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Solution

The fourth proportional to 33,023.70, 49,535.01 and 8,063.82 is: 12,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023.70 : 49,535.01 = 8,063.82 : x
  2. Step 2: Convert to fraction form
    33,023.70/49,535.01 = 8,063.82/x
  3. Step 3: Cross multiply
    33,023.70x = 49,535.01 × 8,063.82
  4. Step 4: Simplify right side
    33,023.70x = 399,441,404.34
  5. Step 5: Solve for x
    x = 399,441,404.34/33,023.70
  6. Step 6: Final answer
    x = 12,095.60

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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.