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Finding the Fourth Proportional to 57,514.68, 86,236.30 and 24,217.60

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Solution

The fourth proportional to 57,514.68, 86,236.30 and 24,217.60 is: 36,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514.68 : 86,236.30 = 24,217.60 : x
  2. Step 2: Convert to fraction form
    57,514.68/86,236.30 = 24,217.60/x
  3. Step 3: Cross multiply
    57,514.68x = 86,236.30 × 24,217.60
  4. Step 4: Simplify right side
    57,514.68x = 2,088,436,218.88
  5. Step 5: Solve for x
    x = 2,088,436,218.88/57,514.68
  6. Step 6: Final answer
    x = 36,311.36

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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.