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Finding the Fourth Proportional to 31,912, 47,868 and 8,537.83

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Solution

The fourth proportional to 31,912, 47,868 and 8,537.83 is: 12,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912 : 47,868 = 8,537.83 : x
  2. Step 2: Convert to fraction form
    31,912/47,868 = 8,537.83/x
  3. Step 3: Cross multiply
    31,912x = 47,868 × 8,537.83
  4. Step 4: Simplify right side
    31,912x = 408,688,846.44
  5. Step 5: Solve for x
    x = 408,688,846.44/31,912
  6. Step 6: Final answer
    x = 12,806.75

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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.