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Finding the Fourth Proportional to 33,411.20, 50,112.48 and 12,632

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Solution

The fourth proportional to 33,411.20, 50,112.48 and 12,632 is: 18,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.20 : 50,112.48 = 12,632 : x
  2. Step 2: Convert to fraction form
    33,411.20/50,112.48 = 12,632/x
  3. Step 3: Cross multiply
    33,411.20x = 50,112.48 × 12,632
  4. Step 4: Simplify right side
    33,411.20x = 633,020,847.36
  5. Step 5: Solve for x
    x = 633,020,847.36/33,411.20
  6. Step 6: Final answer
    x = 18,946.37

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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.