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Finding the Fourth Proportional to 38,228.81, 57,343.23 and 14,855.24

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Solution

The fourth proportional to 38,228.81, 57,343.23 and 14,855.24 is: 22,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228.81 : 57,343.23 = 14,855.24 : x
  2. Step 2: Convert to fraction form
    38,228.81/57,343.23 = 14,855.24/x
  3. Step 3: Cross multiply
    38,228.81x = 57,343.23 × 14,855.24
  4. Step 4: Simplify right side
    38,228.81x = 851,847,157.31
  5. Step 5: Solve for x
    x = 851,847,157.31/38,228.81
  6. Step 6: Final answer
    x = 22,282.86

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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.