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Finding the Fourth Proportional to 32,517.74, 48,776.60 and 9,144.18

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Solution

The fourth proportional to 32,517.74, 48,776.60 and 9,144.18 is: 13,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.74 : 48,776.60 = 9,144.18 : x
  2. Step 2: Convert to fraction form
    32,517.74/48,776.60 = 9,144.18/x
  3. Step 3: Cross multiply
    32,517.74x = 48,776.60 × 9,144.18
  4. Step 4: Simplify right side
    32,517.74x = 446,022,033.05
  5. Step 5: Solve for x
    x = 446,022,033.05/32,517.74
  6. Step 6: Final answer
    x = 13,716.27

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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.