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Finding the Fourth Proportional to 38,284.20, 57,432.60 and 11,982.60

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Solution

The fourth proportional to 38,284.20, 57,432.60 and 11,982.60 is: 17,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.20 : 57,432.60 = 11,982.60 : x
  2. Step 2: Convert to fraction form
    38,284.20/57,432.60 = 11,982.60/x
  3. Step 3: Cross multiply
    38,284.20x = 57,432.60 × 11,982.60
  4. Step 4: Simplify right side
    38,284.20x = 688,191,872.76
  5. Step 5: Solve for x
    x = 688,191,872.76/38,284.20
  6. Step 6: Final answer
    x = 17,975.87

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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.