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Finding the Fourth Proportional to 31,672.30, 47,511.17 and 8,298.74

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Solution

The fourth proportional to 31,672.30, 47,511.17 and 8,298.74 is: 12,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.30 : 47,511.17 = 8,298.74 : x
  2. Step 2: Convert to fraction form
    31,672.30/47,511.17 = 8,298.74/x
  3. Step 3: Cross multiply
    31,672.30x = 47,511.17 × 8,298.74
  4. Step 4: Simplify right side
    31,672.30x = 394,282,846.93
  5. Step 5: Solve for x
    x = 394,282,846.93/31,672.30
  6. Step 6: Final answer
    x = 12,448.82

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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.