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Finding the Fourth Proportional to 68,216.20, 102,338.70 and 20,827.40

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Solution

The fourth proportional to 68,216.20, 102,338.70 and 20,827.40 is: 31,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216.20 : 102,338.70 = 20,827.40 : x
  2. Step 2: Convert to fraction form
    68,216.20/102,338.70 = 20,827.40/x
  3. Step 3: Cross multiply
    68,216.20x = 102,338.70 × 20,827.40
  4. Step 4: Simplify right side
    68,216.20x = 2,131,449,040.38
  5. Step 5: Solve for x
    x = 2,131,449,040.38/68,216.20
  6. Step 6: Final answer
    x = 31,245.50

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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.