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Finding the Fourth Proportional to 38,456.70, 57,680.19 and 12,164.10

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Solution

The fourth proportional to 38,456.70, 57,680.19 and 12,164.10 is: 18,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.70 : 57,680.19 = 12,164.10 : x
  2. Step 2: Convert to fraction form
    38,456.70/57,680.19 = 12,164.10/x
  3. Step 3: Cross multiply
    38,456.70x = 57,680.19 × 12,164.10
  4. Step 4: Simplify right side
    38,456.70x = 701,627,599.18
  5. Step 5: Solve for x
    x = 701,627,599.18/38,456.70
  6. Step 6: Final answer
    x = 18,244.61

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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.