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Finding the Fourth Proportional to 27,833.50, 41,706.44 and 21,523.80

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Solution

The fourth proportional to 27,833.50, 41,706.44 and 21,523.80 is: 32,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.50 : 41,706.44 = 21,523.80 : x
  2. Step 2: Convert to fraction form
    27,833.50/41,706.44 = 21,523.80/x
  3. Step 3: Cross multiply
    27,833.50x = 41,706.44 × 21,523.80
  4. Step 4: Simplify right side
    27,833.50x = 897,681,127.08
  5. Step 5: Solve for x
    x = 897,681,127.08/27,833.50
  6. Step 6: Final answer
    x = 32,251.83

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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.