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Finding the Fourth Proportional to 20,252.25, 30,375.56 and 5,462.05

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Solution

The fourth proportional to 20,252.25, 30,375.56 and 5,462.05 is: 8,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.25 : 30,375.56 = 5,462.05 : x
  2. Step 2: Convert to fraction form
    20,252.25/30,375.56 = 5,462.05/x
  3. Step 3: Cross multiply
    20,252.25x = 30,375.56 × 5,462.05
  4. Step 4: Simplify right side
    20,252.25x = 165,912,827.50
  5. Step 5: Solve for x
    x = 165,912,827.50/20,252.25
  6. Step 6: Final answer
    x = 8,192.32

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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.