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Finding the Fourth Proportional to 38,527.80, 57,797.10 and 12,229.80

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Solution

The fourth proportional to 38,527.80, 57,797.10 and 12,229.80 is: 18,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.80 : 57,797.10 = 12,229.80 : x
  2. Step 2: Convert to fraction form
    38,527.80/57,797.10 = 12,229.80/x
  3. Step 3: Cross multiply
    38,527.80x = 57,797.10 × 12,229.80
  4. Step 4: Simplify right side
    38,527.80x = 706,846,973.58
  5. Step 5: Solve for x
    x = 706,846,973.58/38,527.80
  6. Step 6: Final answer
    x = 18,346.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.