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Finding the Fourth Proportional to 57,523.70, 86,297.87 and 32,575.54

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Solution

The fourth proportional to 57,523.70, 86,297.87 and 32,575.54 is: 48,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523.70 : 86,297.87 = 32,575.54 : x
  2. Step 2: Convert to fraction form
    57,523.70/86,297.87 = 32,575.54/x
  3. Step 3: Cross multiply
    57,523.70x = 86,297.87 × 32,575.54
  4. Step 4: Simplify right side
    57,523.70x = 2,811,199,716.10
  5. Step 5: Solve for x
    x = 2,811,199,716.10/57,523.70
  6. Step 6: Final answer
    x = 48,870.29

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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.