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Finding the Fourth Proportional to 57,806.82, 86,589.27 and 50,795.46

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Solution

The fourth proportional to 57,806.82, 86,589.27 and 50,795.46 is: 76,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.82 : 86,589.27 = 50,795.46 : x
  2. Step 2: Convert to fraction form
    57,806.82/86,589.27 = 50,795.46/x
  3. Step 3: Cross multiply
    57,806.82x = 86,589.27 × 50,795.46
  4. Step 4: Simplify right side
    57,806.82x = 4,398,341,800.71
  5. Step 5: Solve for x
    x = 4,398,341,800.71/57,806.82
  6. Step 6: Final answer
    x = 76,086.90

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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.