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Finding the Fourth Proportional to 32,167.82, 48,249.41 and 10,820.68

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Solution

The fourth proportional to 32,167.82, 48,249.41 and 10,820.68 is: 16,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.82 : 48,249.41 = 10,820.68 : x
  2. Step 2: Convert to fraction form
    32,167.82/48,249.41 = 10,820.68/x
  3. Step 3: Cross multiply
    32,167.82x = 48,249.41 × 10,820.68
  4. Step 4: Simplify right side
    32,167.82x = 522,091,251.07
  5. Step 5: Solve for x
    x = 522,091,251.07/32,167.82
  6. Step 6: Final answer
    x = 16,230.23

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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.