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Finding the Fourth Proportional to 33,577.50, 50,377.23 and 10,203.96

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Solution

The fourth proportional to 33,577.50, 50,377.23 and 10,203.96 is: 15,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577.50 : 50,377.23 = 10,203.96 : x
  2. Step 2: Convert to fraction form
    33,577.50/50,377.23 = 10,203.96/x
  3. Step 3: Cross multiply
    33,577.50x = 50,377.23 × 10,203.96
  4. Step 4: Simplify right side
    33,577.50x = 514,047,239.83
  5. Step 5: Solve for x
    x = 514,047,239.83/33,577.50
  6. Step 6: Final answer
    x = 15,309.28

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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.