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Finding the Fourth Proportional to 96,321.62, 144,446.52 and 33,123.86

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Solution

The fourth proportional to 96,321.62, 144,446.52 and 33,123.86 is: 49,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,321.62 : 144,446.52 = 33,123.86 : x
  2. Step 2: Convert to fraction form
    96,321.62/144,446.52 = 33,123.86/x
  3. Step 3: Cross multiply
    96,321.62x = 144,446.52 × 33,123.86
  4. Step 4: Simplify right side
    96,321.62x = 4,784,626,305.97
  5. Step 5: Solve for x
    x = 4,784,626,305.97/96,321.62
  6. Step 6: Final answer
    x = 49,673.44

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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.