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Finding the Fourth Proportional to 57,906.45, 86,845.10 and 22,846.41

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Solution

The fourth proportional to 57,906.45, 86,845.10 and 22,846.41 is: 34,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906.45 : 86,845.10 = 22,846.41 : x
  2. Step 2: Convert to fraction form
    57,906.45/86,845.10 = 22,846.41/x
  3. Step 3: Cross multiply
    57,906.45x = 86,845.10 × 22,846.41
  4. Step 4: Simplify right side
    57,906.45x = 1,984,098,646.86
  5. Step 5: Solve for x
    x = 1,984,098,646.86/57,906.45
  6. Step 6: Final answer
    x = 34,263.86

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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.