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Finding the Fourth Proportional to 31,166.50, 46,763.46 and 16,372

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Solution

The fourth proportional to 31,166.50, 46,763.46 and 16,372 is: 24,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.50 : 46,763.46 = 16,372 : x
  2. Step 2: Convert to fraction form
    31,166.50/46,763.46 = 16,372/x
  3. Step 3: Cross multiply
    31,166.50x = 46,763.46 × 16,372
  4. Step 4: Simplify right side
    31,166.50x = 765,611,367.12
  5. Step 5: Solve for x
    x = 765,611,367.12/31,166.50
  6. Step 6: Final answer
    x = 24,565.20

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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.