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Finding the Fourth Proportional to 57,357.20, 86,021.40 and 20,412.56

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Solution

The fourth proportional to 57,357.20, 86,021.40 and 20,412.56 is: 30,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357.20 : 86,021.40 = 20,412.56 : x
  2. Step 2: Convert to fraction form
    57,357.20/86,021.40 = 20,412.56/x
  3. Step 3: Cross multiply
    57,357.20x = 86,021.40 × 20,412.56
  4. Step 4: Simplify right side
    57,357.20x = 1,755,916,988.78
  5. Step 5: Solve for x
    x = 1,755,916,988.78/57,357.20
  6. Step 6: Final answer
    x = 30,613.72

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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.