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Finding the Fourth Proportional to 38,257.32, 57,397.14 and 16,059

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Solution

The fourth proportional to 38,257.32, 57,397.14 and 16,059 is: 24,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.32 : 57,397.14 = 16,059 : x
  2. Step 2: Convert to fraction form
    38,257.32/57,397.14 = 16,059/x
  3. Step 3: Cross multiply
    38,257.32x = 57,397.14 × 16,059
  4. Step 4: Simplify right side
    38,257.32x = 921,740,671.26
  5. Step 5: Solve for x
    x = 921,740,671.26/38,257.32
  6. Step 6: Final answer
    x = 24,093.18

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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.