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Finding the Fourth Proportional to 104,906.92, 157,389.58 and 45,747.80

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Solution

The fourth proportional to 104,906.92, 157,389.58 and 45,747.80 is: 68,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.92 : 157,389.58 = 45,747.80 : x
  2. Step 2: Convert to fraction form
    104,906.92/157,389.58 = 45,747.80/x
  3. Step 3: Cross multiply
    104,906.92x = 157,389.58 × 45,747.80
  4. Step 4: Simplify right side
    104,906.92x = 7,200,227,027.92
  5. Step 5: Solve for x
    x = 7,200,227,027.92/104,906.92
  6. Step 6: Final answer
    x = 68,634.43

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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.