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Finding the Fourth Proportional to 23,634.56, 35,443.20 and 8,048

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Solution

The fourth proportional to 23,634.56, 35,443.20 and 8,048 is: 12,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.56 : 35,443.20 = 8,048 : x
  2. Step 2: Convert to fraction form
    23,634.56/35,443.20 = 8,048/x
  3. Step 3: Cross multiply
    23,634.56x = 35,443.20 × 8,048
  4. Step 4: Simplify right side
    23,634.56x = 285,246,873.60
  5. Step 5: Solve for x
    x = 285,246,873.60/23,634.56
  6. Step 6: Final answer
    x = 12,069.06

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Why These Related Problems?

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