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Finding the Fourth Proportional to 31,168.50, 46,766.46 and 16,374

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Solution

The fourth proportional to 31,168.50, 46,766.46 and 16,374 is: 24,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,168.50 : 46,766.46 = 16,374 : x
  2. Step 2: Convert to fraction form
    31,168.50/46,766.46 = 16,374/x
  3. Step 3: Cross multiply
    31,168.50x = 46,766.46 × 16,374
  4. Step 4: Simplify right side
    31,168.50x = 765,754,016.04
  5. Step 5: Solve for x
    x = 765,754,016.04/31,168.50
  6. Step 6: Final answer
    x = 24,568.20

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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.