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Finding the Fourth Proportional to 96,930.92, 133,764.54 and 54,489.62

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Solution

The fourth proportional to 96,930.92, 133,764.54 and 54,489.62 is: 75,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,930.92 : 133,764.54 = 54,489.62 : x
  2. Step 2: Convert to fraction form
    96,930.92/133,764.54 = 54,489.62/x
  3. Step 3: Cross multiply
    96,930.92x = 133,764.54 × 54,489.62
  4. Step 4: Simplify right side
    96,930.92x = 7,288,778,954.07
  5. Step 5: Solve for x
    x = 7,288,778,954.07/96,930.92
  6. Step 6: Final answer
    x = 75,195.60

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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.