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Finding the Fourth Proportional to 28,596.26, 42,846.97 and 20,234.83

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Solution

The fourth proportional to 28,596.26, 42,846.97 and 20,234.83 is: 30,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.26 : 42,846.97 = 20,234.83 : x
  2. Step 2: Convert to fraction form
    28,596.26/42,846.97 = 20,234.83/x
  3. Step 3: Cross multiply
    28,596.26x = 42,846.97 × 20,234.83
  4. Step 4: Simplify right side
    28,596.26x = 867,001,153.97
  5. Step 5: Solve for x
    x = 867,001,153.97/28,596.26
  6. Step 6: Final answer
    x = 30,318.69

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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.