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Finding the Fourth Proportional to 80,473.96, 120,723.90 and 25,057

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Solution

The fourth proportional to 80,473.96, 120,723.90 and 25,057 is: 37,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473.96 : 120,723.90 = 25,057 : x
  2. Step 2: Convert to fraction form
    80,473.96/120,723.90 = 25,057/x
  3. Step 3: Cross multiply
    80,473.96x = 120,723.90 × 25,057
  4. Step 4: Simplify right side
    80,473.96x = 3,024,978,762.30
  5. Step 5: Solve for x
    x = 3,024,978,762.30/80,473.96
  6. Step 6: Final answer
    x = 37,589.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.