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Finding the Fourth Proportional to 96,893.98, 133,712.85 and 54,452.41

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Solution

The fourth proportional to 96,893.98, 133,712.85 and 54,452.41 is: 75,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,893.98 : 133,712.85 = 54,452.41 : x
  2. Step 2: Convert to fraction form
    96,893.98/133,712.85 = 54,452.41/x
  3. Step 3: Cross multiply
    96,893.98x = 133,712.85 × 54,452.41
  4. Step 4: Simplify right side
    96,893.98x = 7,280,986,930.47
  5. Step 5: Solve for x
    x = 7,280,986,930.47/96,893.98
  6. Step 6: Final answer
    x = 75,143.85

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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.