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Finding the Fourth Proportional to 57,964.50, 86,921.43 and 20,512.13

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Solution

The fourth proportional to 57,964.50, 86,921.43 and 20,512.13 is: 30,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,964.50 : 86,921.43 = 20,512.13 : x
  2. Step 2: Convert to fraction form
    57,964.50/86,921.43 = 20,512.13/x
  3. Step 3: Cross multiply
    57,964.50x = 86,921.43 × 20,512.13
  4. Step 4: Simplify right side
    57,964.50x = 1,782,943,237.34
  5. Step 5: Solve for x
    x = 1,782,943,237.34/57,964.50
  6. Step 6: Final answer
    x = 30,759.23

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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.