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Finding the Fourth Proportional to 27,233, 40,849.52 and 8,765

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Solution

The fourth proportional to 27,233, 40,849.52 and 8,765 is: 13,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233 : 40,849.52 = 8,765 : x
  2. Step 2: Convert to fraction form
    27,233/40,849.52 = 8,765/x
  3. Step 3: Cross multiply
    27,233x = 40,849.52 × 8,765
  4. Step 4: Simplify right side
    27,233x = 358,046,042.80
  5. Step 5: Solve for x
    x = 358,046,042.80/27,233
  6. Step 6: Final answer
    x = 13,147.51

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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.