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Finding the Fourth Proportional to 27,880, 41,828.21 and 11,231.46

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Solution

The fourth proportional to 27,880, 41,828.21 and 11,231.46 is: 16,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 41,828.21 = 11,231.46 : x
  2. Step 2: Convert to fraction form
    27,880/41,828.21 = 11,231.46/x
  3. Step 3: Cross multiply
    27,880x = 41,828.21 × 11,231.46
  4. Step 4: Simplify right side
    27,880x = 469,791,867.49
  5. Step 5: Solve for x
    x = 469,791,867.49/27,880
  6. Step 6: Final answer
    x = 16,850.50

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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.