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Finding the Fourth Proportional to 32,523.23, 48,794.02 and 9,149.87

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Solution

The fourth proportional to 32,523.23, 48,794.02 and 9,149.87 is: 13,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.23 : 48,794.02 = 9,149.87 : x
  2. Step 2: Convert to fraction form
    32,523.23/48,794.02 = 9,149.87/x
  3. Step 3: Cross multiply
    32,523.23x = 48,794.02 × 9,149.87
  4. Step 4: Simplify right side
    32,523.23x = 446,458,672.93
  5. Step 5: Solve for x
    x = 446,458,672.93/32,523.23
  6. Step 6: Final answer
    x = 13,727.38

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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.