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Finding the Fourth Proportional to 40,196.56, 55,471.38 and 22,293.22

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Solution

The fourth proportional to 40,196.56, 55,471.38 and 22,293.22 is: 30,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.56 : 55,471.38 = 22,293.22 : x
  2. Step 2: Convert to fraction form
    40,196.56/55,471.38 = 22,293.22/x
  3. Step 3: Cross multiply
    40,196.56x = 55,471.38 × 22,293.22
  4. Step 4: Simplify right side
    40,196.56x = 1,236,635,678.04
  5. Step 5: Solve for x
    x = 1,236,635,678.04/40,196.56
  6. Step 6: Final answer
    x = 30,764.71

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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.