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Finding the Fourth Proportional to 32,067.62, 48,106.20 and 9,879.14

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Solution

The fourth proportional to 32,067.62, 48,106.20 and 9,879.14 is: 14,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.62 : 48,106.20 = 9,879.14 : x
  2. Step 2: Convert to fraction form
    32,067.62/48,106.20 = 9,879.14/x
  3. Step 3: Cross multiply
    32,067.62x = 48,106.20 × 9,879.14
  4. Step 4: Simplify right side
    32,067.62x = 475,247,644.14
  5. Step 5: Solve for x
    x = 475,247,644.14/32,067.62
  6. Step 6: Final answer
    x = 14,820.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.