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Finding the Fourth Proportional to 27,200.34, 37,517.58 and 22,164.57

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Solution

The fourth proportional to 27,200.34, 37,517.58 and 22,164.57 is: 30,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.34 : 37,517.58 = 22,164.57 : x
  2. Step 2: Convert to fraction form
    27,200.34/37,517.58 = 22,164.57/x
  3. Step 3: Cross multiply
    27,200.34x = 37,517.58 × 22,164.57
  4. Step 4: Simplify right side
    27,200.34x = 831,561,028.14
  5. Step 5: Solve for x
    x = 831,561,028.14/27,200.34
  6. Step 6: Final answer
    x = 30,571.71

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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.