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Finding the Fourth Proportional to 33,187, 49,780.50 and 11,299

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Solution

The fourth proportional to 33,187, 49,780.50 and 11,299 is: 16,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187 : 49,780.50 = 11,299 : x
  2. Step 2: Convert to fraction form
    33,187/49,780.50 = 11,299/x
  3. Step 3: Cross multiply
    33,187x = 49,780.50 × 11,299
  4. Step 4: Simplify right side
    33,187x = 562,469,869.50
  5. Step 5: Solve for x
    x = 562,469,869.50/33,187
  6. Step 6: Final answer
    x = 16,948.50

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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.