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Finding the Fourth Proportional to 30,505.73, 45,757.23 and 8,319.11

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Solution

The fourth proportional to 30,505.73, 45,757.23 and 8,319.11 is: 12,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.73 : 45,757.23 = 8,319.11 : x
  2. Step 2: Convert to fraction form
    30,505.73/45,757.23 = 8,319.11/x
  3. Step 3: Cross multiply
    30,505.73x = 45,757.23 × 8,319.11
  4. Step 4: Simplify right side
    30,505.73x = 380,659,200.88
  5. Step 5: Solve for x
    x = 380,659,200.88/30,505.73
  6. Step 6: Final answer
    x = 12,478.29

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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.