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Finding the Fourth Proportional to 27,681.50, 38,222.23 and 22,286.80

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Solution

The fourth proportional to 27,681.50, 38,222.23 and 22,286.80 is: 30,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.50 : 38,222.23 = 22,286.80 : x
  2. Step 2: Convert to fraction form
    27,681.50/38,222.23 = 22,286.80/x
  3. Step 3: Cross multiply
    27,681.50x = 38,222.23 × 22,286.80
  4. Step 4: Simplify right side
    27,681.50x = 851,851,014.41
  5. Step 5: Solve for x
    x = 851,851,014.41/27,681.50
  6. Step 6: Final answer
    x = 30,773.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.