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Finding the Fourth Proportional to 68,684.31, 103,036.79 and 24,311.50

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Solution

The fourth proportional to 68,684.31, 103,036.79 and 24,311.50 is: 36,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,684.31 : 103,036.79 = 24,311.50 : x
  2. Step 2: Convert to fraction form
    68,684.31/103,036.79 = 24,311.50/x
  3. Step 3: Cross multiply
    68,684.31x = 103,036.79 × 24,311.50
  4. Step 4: Simplify right side
    68,684.31x = 2,504,978,723.27
  5. Step 5: Solve for x
    x = 2,504,978,723.27/68,684.31
  6. Step 6: Final answer
    x = 36,470.90

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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.