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Finding the Fourth Proportional to 32,757.30, 49,144.23 and 13,035.78

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Solution

The fourth proportional to 32,757.30, 49,144.23 and 13,035.78 is: 19,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,757.30 : 49,144.23 = 13,035.78 : x
  2. Step 2: Convert to fraction form
    32,757.30/49,144.23 = 13,035.78/x
  3. Step 3: Cross multiply
    32,757.30x = 49,144.23 × 13,035.78
  4. Step 4: Simplify right side
    32,757.30x = 640,633,370.55
  5. Step 5: Solve for x
    x = 640,633,370.55/32,757.30
  6. Step 6: Final answer
    x = 19,556.97

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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.