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Finding the Fourth Proportional to 27,685.50, 38,227.75 and 22,290.80

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Solution

The fourth proportional to 27,685.50, 38,227.75 and 22,290.80 is: 30,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.50 : 38,227.75 = 22,290.80 : x
  2. Step 2: Convert to fraction form
    27,685.50/38,227.75 = 22,290.80/x
  3. Step 3: Cross multiply
    27,685.50x = 38,227.75 × 22,290.80
  4. Step 4: Simplify right side
    27,685.50x = 852,127,129.70
  5. Step 5: Solve for x
    x = 852,127,129.70/27,685.50
  6. Step 6: Final answer
    x = 30,778.82

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