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Finding the Fourth Proportional to 40,224.20, 55,512.74 and 22,325

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Solution

The fourth proportional to 40,224.20, 55,512.74 and 22,325 is: 30,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224.20 : 55,512.74 = 22,325 : x
  2. Step 2: Convert to fraction form
    40,224.20/55,512.74 = 22,325/x
  3. Step 3: Cross multiply
    40,224.20x = 55,512.74 × 22,325
  4. Step 4: Simplify right side
    40,224.20x = 1,239,321,920.50
  5. Step 5: Solve for x
    x = 1,239,321,920.50/40,224.20
  6. Step 6: Final answer
    x = 30,810.36

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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.