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Finding the Fourth Proportional to 40,049.54, 55,266 and 22,143.14

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Solution

The fourth proportional to 40,049.54, 55,266 and 22,143.14 is: 30,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049.54 : 55,266 = 22,143.14 : x
  2. Step 2: Convert to fraction form
    40,049.54/55,266 = 22,143.14/x
  3. Step 3: Cross multiply
    40,049.54x = 55,266 × 22,143.14
  4. Step 4: Simplify right side
    40,049.54x = 1,223,762,775.24
  5. Step 5: Solve for x
    x = 1,223,762,775.24/40,049.54
  6. Step 6: Final answer
    x = 30,556.23

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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.