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Finding the Fourth Proportional to 33,031.62, 49,548.18 and 8,071.86

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Solution

The fourth proportional to 33,031.62, 49,548.18 and 8,071.86 is: 12,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.62 : 49,548.18 = 8,071.86 : x
  2. Step 2: Convert to fraction form
    33,031.62/49,548.18 = 8,071.86/x
  3. Step 3: Cross multiply
    33,031.62x = 49,548.18 × 8,071.86
  4. Step 4: Simplify right side
    33,031.62x = 399,945,972.21
  5. Step 5: Solve for x
    x = 399,945,972.21/33,031.62
  6. Step 6: Final answer
    x = 12,107.97

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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.