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Finding the Fourth Proportional to 33,497.80, 50,246.70 and 31,424.20

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Solution

The fourth proportional to 33,497.80, 50,246.70 and 31,424.20 is: 47,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.80 : 50,246.70 = 31,424.20 : x
  2. Step 2: Convert to fraction form
    33,497.80/50,246.70 = 31,424.20/x
  3. Step 3: Cross multiply
    33,497.80x = 50,246.70 × 31,424.20
  4. Step 4: Simplify right side
    33,497.80x = 1,578,962,350.14
  5. Step 5: Solve for x
    x = 1,578,962,350.14/33,497.80
  6. Step 6: Final answer
    x = 47,136.30

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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.