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Finding the Fourth Proportional to 27,401, 41,107.98 and 8,933

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Solution

The fourth proportional to 27,401, 41,107.98 and 8,933 is: 13,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401 : 41,107.98 = 8,933 : x
  2. Step 2: Convert to fraction form
    27,401/41,107.98 = 8,933/x
  3. Step 3: Cross multiply
    27,401x = 41,107.98 × 8,933
  4. Step 4: Simplify right side
    27,401x = 367,217,585.34
  5. Step 5: Solve for x
    x = 367,217,585.34/27,401
  6. Step 6: Final answer
    x = 13,401.61

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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.