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Finding the Fourth Proportional to 99,893.72, 137,847.24 and 54,562.52

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Solution

The fourth proportional to 99,893.72, 137,847.24 and 54,562.52 is: 75,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,893.72 : 137,847.24 = 54,562.52 : x
  2. Step 2: Convert to fraction form
    99,893.72/137,847.24 = 54,562.52/x
  3. Step 3: Cross multiply
    99,893.72x = 137,847.24 × 54,562.52
  4. Step 4: Simplify right side
    99,893.72x = 7,521,292,789.44
  5. Step 5: Solve for x
    x = 7,521,292,789.44/99,893.72
  6. Step 6: Final answer
    x = 75,292.95

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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.