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Finding the Fourth Proportional to 64,028.86, 96,092.31 and 28,993.12

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Solution

The fourth proportional to 64,028.86, 96,092.31 and 28,993.12 is: 43,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,028.86 : 96,092.31 = 28,993.12 : x
  2. Step 2: Convert to fraction form
    64,028.86/96,092.31 = 28,993.12/x
  3. Step 3: Cross multiply
    64,028.86x = 96,092.31 × 28,993.12
  4. Step 4: Simplify right side
    64,028.86x = 2,786,015,874.91
  5. Step 5: Solve for x
    x = 2,786,015,874.91/64,028.86
  6. Step 6: Final answer
    x = 43,511.88

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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.