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Finding the Fourth Proportional to 57,683.06, 86,563.19 and 20,243.30

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Solution

The fourth proportional to 57,683.06, 86,563.19 and 20,243.30 is: 30,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683.06 : 86,563.19 = 20,243.30 : x
  2. Step 2: Convert to fraction form
    57,683.06/86,563.19 = 20,243.30/x
  3. Step 3: Cross multiply
    57,683.06x = 86,563.19 × 20,243.30
  4. Step 4: Simplify right side
    57,683.06x = 1,752,324,624.13
  5. Step 5: Solve for x
    x = 1,752,324,624.13/57,683.06
  6. Step 6: Final answer
    x = 30,378.50

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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.