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Finding the Fourth Proportional to 33,357.70, 50,032.23 and 12,578.50

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Solution

The fourth proportional to 33,357.70, 50,032.23 and 12,578.50 is: 18,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,357.70 : 50,032.23 = 12,578.50 : x
  2. Step 2: Convert to fraction form
    33,357.70/50,032.23 = 12,578.50/x
  3. Step 3: Cross multiply
    33,357.70x = 50,032.23 × 12,578.50
  4. Step 4: Simplify right side
    33,357.70x = 629,330,405.06
  5. Step 5: Solve for x
    x = 629,330,405.06/33,357.70
  6. Step 6: Final answer
    x = 18,866.12

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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.