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Finding the Fourth Proportional to 38,512.50, 57,770.78 and 12,219.30

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Solution

The fourth proportional to 38,512.50, 57,770.78 and 12,219.30 is: 18,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.50 : 57,770.78 = 12,219.30 : x
  2. Step 2: Convert to fraction form
    38,512.50/57,770.78 = 12,219.30/x
  3. Step 3: Cross multiply
    38,512.50x = 57,770.78 × 12,219.30
  4. Step 4: Simplify right side
    38,512.50x = 705,918,492.05
  5. Step 5: Solve for x
    x = 705,918,492.05/38,512.50
  6. Step 6: Final answer
    x = 18,329.59

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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.