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Finding the Fourth Proportional to 33,724.41, 50,574.74 and 11,228.99

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Solution

The fourth proportional to 33,724.41, 50,574.74 and 11,228.99 is: 16,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.41 : 50,574.74 = 11,228.99 : x
  2. Step 2: Convert to fraction form
    33,724.41/50,574.74 = 11,228.99/x
  3. Step 3: Cross multiply
    33,724.41x = 50,574.74 × 11,228.99
  4. Step 4: Simplify right side
    33,724.41x = 567,903,024.91
  5. Step 5: Solve for x
    x = 567,903,024.91/33,724.41
  6. Step 6: Final answer
    x = 16,839.52

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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.