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Finding the Fourth Proportional to 38,658.44, 57,947.18 and 16,182

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Solution

The fourth proportional to 38,658.44, 57,947.18 and 16,182 is: 24,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.44 : 57,947.18 = 16,182 : x
  2. Step 2: Convert to fraction form
    38,658.44/57,947.18 = 16,182/x
  3. Step 3: Cross multiply
    38,658.44x = 57,947.18 × 16,182
  4. Step 4: Simplify right side
    38,658.44x = 937,701,185.85
  5. Step 5: Solve for x
    x = 937,701,185.85/38,658.44
  6. Step 6: Final answer
    x = 24,256.06

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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.