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Finding the Fourth Proportional to 31,834.99, 47,752.44 and 8,461.43

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Solution

The fourth proportional to 31,834.99, 47,752.44 and 8,461.43 is: 12,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.99 : 47,752.44 = 8,461.43 : x
  2. Step 2: Convert to fraction form
    31,834.99/47,752.44 = 8,461.43/x
  3. Step 3: Cross multiply
    31,834.99x = 47,752.44 × 8,461.43
  4. Step 4: Simplify right side
    31,834.99x = 404,053,942.37
  5. Step 5: Solve for x
    x = 404,053,942.37/31,834.99
  6. Step 6: Final answer
    x = 12,692.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.