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Finding the Fourth Proportional to 33,883.50, 50,804.73 and 15,160.05

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Solution

The fourth proportional to 33,883.50, 50,804.73 and 15,160.05 is: 22,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.50 : 50,804.73 = 15,160.05 : x
  2. Step 2: Convert to fraction form
    33,883.50/50,804.73 = 15,160.05/x
  3. Step 3: Cross multiply
    33,883.50x = 50,804.73 × 15,160.05
  4. Step 4: Simplify right side
    33,883.50x = 770,202,196.91
  5. Step 5: Solve for x
    x = 770,202,196.91/33,883.50
  6. Step 6: Final answer
    x = 22,730.89

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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.