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Finding the Fourth Proportional to 36,597.90, 54,906 and 16,890.24

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Solution

The fourth proportional to 36,597.90, 54,906 and 16,890.24 is: 25,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,597.90 : 54,906 = 16,890.24 : x
  2. Step 2: Convert to fraction form
    36,597.90/54,906 = 16,890.24/x
  3. Step 3: Cross multiply
    36,597.90x = 54,906 × 16,890.24
  4. Step 4: Simplify right side
    36,597.90x = 927,375,517.44
  5. Step 5: Solve for x
    x = 927,375,517.44/36,597.90
  6. Step 6: Final answer
    x = 25,339.58

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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.