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Finding the Fourth Proportional to 36,407.24, 50,244 and 22,256

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Solution

The fourth proportional to 36,407.24, 50,244 and 22,256 is: 30,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,407.24 : 50,244 = 22,256 : x
  2. Step 2: Convert to fraction form
    36,407.24/50,244 = 22,256/x
  3. Step 3: Cross multiply
    36,407.24x = 50,244 × 22,256
  4. Step 4: Simplify right side
    36,407.24x = 1,118,230,464
  5. Step 5: Solve for x
    x = 1,118,230,464/36,407.24
  6. Step 6: Final answer
    x = 30,714.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.