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Finding the Fourth Proportional to 57,717.10, 86,564.71 and 20,268.37

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Solution

The fourth proportional to 57,717.10, 86,564.71 and 20,268.37 is: 30,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,717.10 : 86,564.71 = 20,268.37 : x
  2. Step 2: Convert to fraction form
    57,717.10/86,564.71 = 20,268.37/x
  3. Step 3: Cross multiply
    57,717.10x = 86,564.71 × 20,268.37
  4. Step 4: Simplify right side
    57,717.10x = 1,754,525,571.22
  5. Step 5: Solve for x
    x = 1,754,525,571.22/57,717.10
  6. Step 6: Final answer
    x = 30,398.71

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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.