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Finding the Fourth Proportional to 30,199.86, 41,677.11 and 16,771.11

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Solution

The fourth proportional to 30,199.86, 41,677.11 and 16,771.11 is: 23,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.86 : 41,677.11 = 16,771.11 : x
  2. Step 2: Convert to fraction form
    30,199.86/41,677.11 = 16,771.11/x
  3. Step 3: Cross multiply
    30,199.86x = 41,677.11 × 16,771.11
  4. Step 4: Simplify right side
    30,199.86x = 698,971,396.29
  5. Step 5: Solve for x
    x = 698,971,396.29/30,199.86
  6. Step 6: Final answer
    x = 23,144.86

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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.