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Finding the Fourth Proportional to 32,257.25, 48,392.79 and 11,197.96

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Solution

The fourth proportional to 32,257.25, 48,392.79 and 11,197.96 is: 16,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.25 : 48,392.79 = 11,197.96 : x
  2. Step 2: Convert to fraction form
    32,257.25/48,392.79 = 11,197.96/x
  3. Step 3: Cross multiply
    32,257.25x = 48,392.79 × 11,197.96
  4. Step 4: Simplify right side
    32,257.25x = 541,900,698.93
  5. Step 5: Solve for x
    x = 541,900,698.93/32,257.25
  6. Step 6: Final answer
    x = 16,799.34

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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.