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Finding the Fourth Proportional to 30,200.67, 41,676.12 and 16,771.57

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Solution

The fourth proportional to 30,200.67, 41,676.12 and 16,771.57 is: 23,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.67 : 41,676.12 = 16,771.57 : x
  2. Step 2: Convert to fraction form
    30,200.67/41,676.12 = 16,771.57/x
  3. Step 3: Cross multiply
    30,200.67x = 41,676.12 × 16,771.57
  4. Step 4: Simplify right side
    30,200.67x = 698,973,859.72
  5. Step 5: Solve for x
    x = 698,973,859.72/30,200.67
  6. Step 6: Final answer
    x = 23,144.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.