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Finding the Fourth Proportional to 87,231.26, 120,405.25 and 50,942.50

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Solution

The fourth proportional to 87,231.26, 120,405.25 and 50,942.50 is: 70,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,231.26 : 120,405.25 = 50,942.50 : x
  2. Step 2: Convert to fraction form
    87,231.26/120,405.25 = 50,942.50/x
  3. Step 3: Cross multiply
    87,231.26x = 120,405.25 × 50,942.50
  4. Step 4: Simplify right side
    87,231.26x = 6,133,744,019.76
  5. Step 5: Solve for x
    x = 6,133,744,019.76/87,231.26
  6. Step 6: Final answer
    x = 70,315.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.