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Finding the Fourth Proportional to 40,644.63, 56,091.77 and 22,738.57

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Solution

The fourth proportional to 40,644.63, 56,091.77 and 22,738.57 is: 31,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644.63 : 56,091.77 = 22,738.57 : x
  2. Step 2: Convert to fraction form
    40,644.63/56,091.77 = 22,738.57/x
  3. Step 3: Cross multiply
    40,644.63x = 56,091.77 × 22,738.57
  4. Step 4: Simplify right side
    40,644.63x = 1,275,446,244.42
  5. Step 5: Solve for x
    x = 1,275,446,244.42/40,644.63
  6. Step 6: Final answer
    x = 31,380.44

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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.