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Finding the Fourth Proportional to 32,067.76, 48,097.38 and 9,881.86

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Solution

The fourth proportional to 32,067.76, 48,097.38 and 9,881.86 is: 14,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.76 : 48,097.38 = 9,881.86 : x
  2. Step 2: Convert to fraction form
    32,067.76/48,097.38 = 9,881.86/x
  3. Step 3: Cross multiply
    32,067.76x = 48,097.38 × 9,881.86
  4. Step 4: Simplify right side
    32,067.76x = 475,291,575.53
  5. Step 5: Solve for x
    x = 475,291,575.53/32,067.76
  6. Step 6: Final answer
    x = 14,821.48

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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.