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Finding the Fourth Proportional to 27,834.48, 41,758.64 and 8,113.21

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Solution

The fourth proportional to 27,834.48, 41,758.64 and 8,113.21 is: 12,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.48 : 41,758.64 = 8,113.21 : x
  2. Step 2: Convert to fraction form
    27,834.48/41,758.64 = 8,113.21/x
  3. Step 3: Cross multiply
    27,834.48x = 41,758.64 × 8,113.21
  4. Step 4: Simplify right side
    27,834.48x = 338,796,615.63
  5. Step 5: Solve for x
    x = 338,796,615.63/27,834.48
  6. Step 6: Final answer
    x = 12,171.83

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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.