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Finding the Fourth Proportional to 32,096.38, 48,147 and 8,723.02

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Solution

The fourth proportional to 32,096.38, 48,147 and 8,723.02 is: 13,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.38 : 48,147 = 8,723.02 : x
  2. Step 2: Convert to fraction form
    32,096.38/48,147 = 8,723.02/x
  3. Step 3: Cross multiply
    32,096.38x = 48,147 × 8,723.02
  4. Step 4: Simplify right side
    32,096.38x = 419,987,243.94
  5. Step 5: Solve for x
    x = 419,987,243.94/32,096.38
  6. Step 6: Final answer
    x = 13,085.19

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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.