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Finding the Fourth Proportional to 96,906.89, 133,724.85 and 54,471.80

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Solution

The fourth proportional to 96,906.89, 133,724.85 and 54,471.80 is: 75,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,906.89 : 133,724.85 = 54,471.80 : x
  2. Step 2: Convert to fraction form
    96,906.89/133,724.85 = 54,471.80/x
  3. Step 3: Cross multiply
    96,906.89x = 133,724.85 × 54,471.80
  4. Step 4: Simplify right side
    96,906.89x = 7,284,233,284.23
  5. Step 5: Solve for x
    x = 7,284,233,284.23/96,906.89
  6. Step 6: Final answer
    x = 75,167.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.