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Finding the Fourth Proportional to 32,512.46, 48,768.53 and 10,327.55

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Solution

The fourth proportional to 32,512.46, 48,768.53 and 10,327.55 is: 15,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.46 : 48,768.53 = 10,327.55 : x
  2. Step 2: Convert to fraction form
    32,512.46/48,768.53 = 10,327.55/x
  3. Step 3: Cross multiply
    32,512.46x = 48,768.53 × 10,327.55
  4. Step 4: Simplify right side
    32,512.46x = 503,659,136.52
  5. Step 5: Solve for x
    x = 503,659,136.52/32,512.46
  6. Step 6: Final answer
    x = 15,491.27

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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.