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Finding the Fourth Proportional to 27,142.50, 40,719.60 and 8,422.18

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Solution

The fourth proportional to 27,142.50, 40,719.60 and 8,422.18 is: 12,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.50 : 40,719.60 = 8,422.18 : x
  2. Step 2: Convert to fraction form
    27,142.50/40,719.60 = 8,422.18/x
  3. Step 3: Cross multiply
    27,142.50x = 40,719.60 × 8,422.18
  4. Step 4: Simplify right side
    27,142.50x = 342,947,800.73
  5. Step 5: Solve for x
    x = 342,947,800.73/27,142.50
  6. Step 6: Final answer
    x = 12,635.09

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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.