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Finding the Fourth Proportional to 32,517.28, 48,777.81 and 9,145.54

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Solution

The fourth proportional to 32,517.28, 48,777.81 and 9,145.54 is: 13,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.28 : 48,777.81 = 9,145.54 : x
  2. Step 2: Convert to fraction form
    32,517.28/48,777.81 = 9,145.54/x
  3. Step 3: Cross multiply
    32,517.28x = 48,777.81 × 9,145.54
  4. Step 4: Simplify right side
    32,517.28x = 446,099,412.47
  5. Step 5: Solve for x
    x = 446,099,412.47/32,517.28
  6. Step 6: Final answer
    x = 13,718.84

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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.