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Finding the Fourth Proportional to 27,221.40, 40,832.10 and 22,847.40

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Solution

The fourth proportional to 27,221.40, 40,832.10 and 22,847.40 is: 34,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.40 : 40,832.10 = 22,847.40 : x
  2. Step 2: Convert to fraction form
    27,221.40/40,832.10 = 22,847.40/x
  3. Step 3: Cross multiply
    27,221.40x = 40,832.10 × 22,847.40
  4. Step 4: Simplify right side
    27,221.40x = 932,907,321.54
  5. Step 5: Solve for x
    x = 932,907,321.54/27,221.40
  6. Step 6: Final answer
    x = 34,271.10

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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.