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Finding the Fourth Proportional to 40,195.44, 55,469.64 and 22,290

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Solution

The fourth proportional to 40,195.44, 55,469.64 and 22,290 is: 30,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.44 : 55,469.64 = 22,290 : x
  2. Step 2: Convert to fraction form
    40,195.44/55,469.64 = 22,290/x
  3. Step 3: Cross multiply
    40,195.44x = 55,469.64 × 22,290
  4. Step 4: Simplify right side
    40,195.44x = 1,236,418,275.60
  5. Step 5: Solve for x
    x = 1,236,418,275.60/40,195.44
  6. Step 6: Final answer
    x = 30,760.16

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