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Finding the Fourth Proportional to 32,469.53, 48,680.53 and 10,270.49

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Solution

The fourth proportional to 32,469.53, 48,680.53 and 10,270.49 is: 15,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.53 : 48,680.53 = 10,270.49 : x
  2. Step 2: Convert to fraction form
    32,469.53/48,680.53 = 10,270.49/x
  3. Step 3: Cross multiply
    32,469.53x = 48,680.53 × 10,270.49
  4. Step 4: Simplify right side
    32,469.53x = 499,972,627.48
  5. Step 5: Solve for x
    x = 499,972,627.48/32,469.53
  6. Step 6: Final answer
    x = 15,398.21

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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.