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Finding the Fourth Proportional to 32,067.89, 48,103.45 and 9,896.43

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Solution

The fourth proportional to 32,067.89, 48,103.45 and 9,896.43 is: 14,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.89 : 48,103.45 = 9,896.43 : x
  2. Step 2: Convert to fraction form
    32,067.89/48,103.45 = 9,896.43/x
  3. Step 3: Cross multiply
    32,067.89x = 48,103.45 × 9,896.43
  4. Step 4: Simplify right side
    32,067.89x = 476,052,400.94
  5. Step 5: Solve for x
    x = 476,052,400.94/32,067.89
  6. Step 6: Final answer
    x = 14,845.14

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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.