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Finding the Fourth Proportional to 36,644.44, 54,929.70 and 14,449.20

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Solution

The fourth proportional to 36,644.44, 54,929.70 and 14,449.20 is: 21,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644.44 : 54,929.70 = 14,449.20 : x
  2. Step 2: Convert to fraction form
    36,644.44/54,929.70 = 14,449.20/x
  3. Step 3: Cross multiply
    36,644.44x = 54,929.70 × 14,449.20
  4. Step 4: Simplify right side
    36,644.44x = 793,690,221.24
  5. Step 5: Solve for x
    x = 793,690,221.24/36,644.44
  6. Step 6: Final answer
    x = 21,659.23

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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.