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Finding the Fourth Proportional to 27,953.80, 41,937.78 and 8,233

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Solution

The fourth proportional to 27,953.80, 41,937.78 and 8,233 is: 12,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.80 : 41,937.78 = 8,233 : x
  2. Step 2: Convert to fraction form
    27,953.80/41,937.78 = 8,233/x
  3. Step 3: Cross multiply
    27,953.80x = 41,937.78 × 8,233
  4. Step 4: Simplify right side
    27,953.80x = 345,273,742.74
  5. Step 5: Solve for x
    x = 345,273,742.74/27,953.80
  6. Step 6: Final answer
    x = 12,351.59

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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.