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Finding the Fourth Proportional to 32,142.82, 48,209.28 and 8,771.08

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Solution

The fourth proportional to 32,142.82, 48,209.28 and 8,771.08 is: 13,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.82 : 48,209.28 = 8,771.08 : x
  2. Step 2: Convert to fraction form
    32,142.82/48,209.28 = 8,771.08/x
  3. Step 3: Cross multiply
    32,142.82x = 48,209.28 × 8,771.08
  4. Step 4: Simplify right side
    32,142.82x = 422,847,451.62
  5. Step 5: Solve for x
    x = 422,847,451.62/32,142.82
  6. Step 6: Final answer
    x = 13,155.27

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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.