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Finding the Fourth Proportional to 31,169.50, 46,767.96 and 16,375

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Solution

The fourth proportional to 31,169.50, 46,767.96 and 16,375 is: 24,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.50 : 46,767.96 = 16,375 : x
  2. Step 2: Convert to fraction form
    31,169.50/46,767.96 = 16,375/x
  3. Step 3: Cross multiply
    31,169.50x = 46,767.96 × 16,375
  4. Step 4: Simplify right side
    31,169.50x = 765,825,345
  5. Step 5: Solve for x
    x = 765,825,345/31,169.50
  6. Step 6: Final answer
    x = 24,569.70

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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.