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Finding the Fourth Proportional to 32,257.62, 48,405.87 and 11,478.42

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Solution

The fourth proportional to 32,257.62, 48,405.87 and 11,478.42 is: 17,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.62 : 48,405.87 = 11,478.42 : x
  2. Step 2: Convert to fraction form
    32,257.62/48,405.87 = 11,478.42/x
  3. Step 3: Cross multiply
    32,257.62x = 48,405.87 × 11,478.42
  4. Step 4: Simplify right side
    32,257.62x = 555,622,906.33
  5. Step 5: Solve for x
    x = 555,622,906.33/32,257.62
  6. Step 6: Final answer
    x = 17,224.55

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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.