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Finding the Fourth Proportional to 33,761.80, 50,664.30 and 19,721.80

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Solution

The fourth proportional to 33,761.80, 50,664.30 and 19,721.80 is: 29,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,761.80 : 50,664.30 = 19,721.80 : x
  2. Step 2: Convert to fraction form
    33,761.80/50,664.30 = 19,721.80/x
  3. Step 3: Cross multiply
    33,761.80x = 50,664.30 × 19,721.80
  4. Step 4: Simplify right side
    33,761.80x = 999,191,191.74
  5. Step 5: Solve for x
    x = 999,191,191.74/33,761.80
  6. Step 6: Final answer
    x = 29,595.32

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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.