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Finding the Fourth Proportional to 57,714.96, 86,571.96 and 32,766.48

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Solution

The fourth proportional to 57,714.96, 86,571.96 and 32,766.48 is: 49,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.96 : 86,571.96 = 32,766.48 : x
  2. Step 2: Convert to fraction form
    57,714.96/86,571.96 = 32,766.48/x
  3. Step 3: Cross multiply
    57,714.96x = 86,571.96 × 32,766.48
  4. Step 4: Simplify right side
    57,714.96x = 2,836,658,395.90
  5. Step 5: Solve for x
    x = 2,836,658,395.90/57,714.96
  6. Step 6: Final answer
    x = 49,149.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.