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Finding the Fourth Proportional to 30,270.30, 41,771.58 and 16,841.44

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Solution

The fourth proportional to 30,270.30, 41,771.58 and 16,841.44 is: 23,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.30 : 41,771.58 = 16,841.44 : x
  2. Step 2: Convert to fraction form
    30,270.30/41,771.58 = 16,841.44/x
  3. Step 3: Cross multiply
    30,270.30x = 41,771.58 × 16,841.44
  4. Step 4: Simplify right side
    30,270.30x = 703,493,558.28
  5. Step 5: Solve for x
    x = 703,493,558.28/30,270.30
  6. Step 6: Final answer
    x = 23,240.39

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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.