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Finding the Fourth Proportional to 33,093.50, 49,612.33 and 14,359.44

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Solution

The fourth proportional to 33,093.50, 49,612.33 and 14,359.44 is: 21,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093.50 : 49,612.33 = 14,359.44 : x
  2. Step 2: Convert to fraction form
    33,093.50/49,612.33 = 14,359.44/x
  3. Step 3: Cross multiply
    33,093.50x = 49,612.33 × 14,359.44
  4. Step 4: Simplify right side
    33,093.50x = 712,405,479.89
  5. Step 5: Solve for x
    x = 712,405,479.89/33,093.50
  6. Step 6: Final answer
    x = 21,527.05

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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.