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Finding the Fourth Proportional to 30,422.54, 45,634.26 and 8,238.16

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Solution

The fourth proportional to 30,422.54, 45,634.26 and 8,238.16 is: 12,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.54 : 45,634.26 = 8,238.16 : x
  2. Step 2: Convert to fraction form
    30,422.54/45,634.26 = 8,238.16/x
  3. Step 3: Cross multiply
    30,422.54x = 45,634.26 × 8,238.16
  4. Step 4: Simplify right side
    30,422.54x = 375,942,143.43
  5. Step 5: Solve for x
    x = 375,942,143.43/30,422.54
  6. Step 6: Final answer
    x = 12,357.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.