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Finding the Fourth Proportional to 31,465.52, 47,198.56 and 8,091.28

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Solution

The fourth proportional to 31,465.52, 47,198.56 and 8,091.28 is: 12,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.52 : 47,198.56 = 8,091.28 : x
  2. Step 2: Convert to fraction form
    31,465.52/47,198.56 = 8,091.28/x
  3. Step 3: Cross multiply
    31,465.52x = 47,198.56 × 8,091.28
  4. Step 4: Simplify right side
    31,465.52x = 381,896,764.56
  5. Step 5: Solve for x
    x = 381,896,764.56/31,465.52
  6. Step 6: Final answer
    x = 12,136.99

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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.