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Finding the Fourth Proportional to 36,223.62, 54,339.84 and 11,265

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Solution

The fourth proportional to 36,223.62, 54,339.84 and 11,265 is: 16,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223.62 : 54,339.84 = 11,265 : x
  2. Step 2: Convert to fraction form
    36,223.62/54,339.84 = 11,265/x
  3. Step 3: Cross multiply
    36,223.62x = 54,339.84 × 11,265
  4. Step 4: Simplify right side
    36,223.62x = 612,138,297.60
  5. Step 5: Solve for x
    x = 612,138,297.60/36,223.62
  6. Step 6: Final answer
    x = 16,898.87

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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.