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Finding the Fourth Proportional to 30,940.83, 42,698.38 and 16,793.67

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Solution

The fourth proportional to 30,940.83, 42,698.38 and 16,793.67 is: 23,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.83 : 42,698.38 = 16,793.67 : x
  2. Step 2: Convert to fraction form
    30,940.83/42,698.38 = 16,793.67/x
  3. Step 3: Cross multiply
    30,940.83x = 42,698.38 × 16,793.67
  4. Step 4: Simplify right side
    30,940.83x = 717,062,503.25
  5. Step 5: Solve for x
    x = 717,062,503.25/30,940.83
  6. Step 6: Final answer
    x = 23,175.28

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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.