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Finding the Fourth Proportional to 30,199.40, 41,675.56 and 16,771.50

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Solution

The fourth proportional to 30,199.40, 41,675.56 and 16,771.50 is: 23,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.40 : 41,675.56 = 16,771.50 : x
  2. Step 2: Convert to fraction form
    30,199.40/41,675.56 = 16,771.50/x
  3. Step 3: Cross multiply
    30,199.40x = 41,675.56 × 16,771.50
  4. Step 4: Simplify right side
    30,199.40x = 698,961,654.54
  5. Step 5: Solve for x
    x = 698,961,654.54/30,199.40
  6. Step 6: Final answer
    x = 23,144.89

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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.