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Finding the Fourth Proportional to 27,524.52, 41,266.92 and 22,266

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Solution

The fourth proportional to 27,524.52, 41,266.92 and 22,266 is: 33,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.52 : 41,266.92 = 22,266 : x
  2. Step 2: Convert to fraction form
    27,524.52/41,266.92 = 22,266/x
  3. Step 3: Cross multiply
    27,524.52x = 41,266.92 × 22,266
  4. Step 4: Simplify right side
    27,524.52x = 918,849,240.72
  5. Step 5: Solve for x
    x = 918,849,240.72/27,524.52
  6. Step 6: Final answer
    x = 33,382.93

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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.