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Finding the Fourth Proportional to 57,968.50, 86,927.43 and 20,516.13

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Solution

The fourth proportional to 57,968.50, 86,927.43 and 20,516.13 is: 30,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,968.50 : 86,927.43 = 20,516.13 : x
  2. Step 2: Convert to fraction form
    57,968.50/86,927.43 = 20,516.13/x
  3. Step 3: Cross multiply
    57,968.50x = 86,927.43 × 20,516.13
  4. Step 4: Simplify right side
    57,968.50x = 1,783,414,454.45
  5. Step 5: Solve for x
    x = 1,783,414,454.45/57,968.50
  6. Step 6: Final answer
    x = 30,765.23

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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.