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Finding the Fourth Proportional to 33,777, 50,688.54 and 11,889

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Solution

The fourth proportional to 33,777, 50,688.54 and 11,889 is: 17,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,777 : 50,688.54 = 11,889 : x
  2. Step 2: Convert to fraction form
    33,777/50,688.54 = 11,889/x
  3. Step 3: Cross multiply
    33,777x = 50,688.54 × 11,889
  4. Step 4: Simplify right side
    33,777x = 602,636,052.06
  5. Step 5: Solve for x
    x = 602,636,052.06/33,777
  6. Step 6: Final answer
    x = 17,841.61

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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.