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Finding the Fourth Proportional to 33,370.50, 50,065.74 and 19,327.26

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Solution

The fourth proportional to 33,370.50, 50,065.74 and 19,327.26 is: 28,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,370.50 : 50,065.74 = 19,327.26 : x
  2. Step 2: Convert to fraction form
    33,370.50/50,065.74 = 19,327.26/x
  3. Step 3: Cross multiply
    33,370.50x = 50,065.74 × 19,327.26
  4. Step 4: Simplify right side
    33,370.50x = 967,633,574.07
  5. Step 5: Solve for x
    x = 967,633,574.07/33,370.50
  6. Step 6: Final answer
    x = 28,996.68

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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.