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Finding the Fourth Proportional to 33,500.50, 50,185.03 and 19,430.97

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Solution

The fourth proportional to 33,500.50, 50,185.03 and 19,430.97 is: 29,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.50 : 50,185.03 = 19,430.97 : x
  2. Step 2: Convert to fraction form
    33,500.50/50,185.03 = 19,430.97/x
  3. Step 3: Cross multiply
    33,500.50x = 50,185.03 × 19,430.97
  4. Step 4: Simplify right side
    33,500.50x = 975,143,812.38
  5. Step 5: Solve for x
    x = 975,143,812.38/33,500.50
  6. Step 6: Final answer
    x = 29,108.34

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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.