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Finding the Fourth Proportional to 30,379.86, 41,924.07 and 16,950.33

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Solution

The fourth proportional to 30,379.86, 41,924.07 and 16,950.33 is: 23,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.86 : 41,924.07 = 16,950.33 : x
  2. Step 2: Convert to fraction form
    30,379.86/41,924.07 = 16,950.33/x
  3. Step 3: Cross multiply
    30,379.86x = 41,924.07 × 16,950.33
  4. Step 4: Simplify right side
    30,379.86x = 710,626,821.44
  5. Step 5: Solve for x
    x = 710,626,821.44/30,379.86
  6. Step 6: Final answer
    x = 23,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.