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Finding the Fourth Proportional to 34,208.69, 51,241.50 and 27,508.95

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Solution

The fourth proportional to 34,208.69, 51,241.50 and 27,508.95 is: 41,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208.69 : 51,241.50 = 27,508.95 : x
  2. Step 2: Convert to fraction form
    34,208.69/51,241.50 = 27,508.95/x
  3. Step 3: Cross multiply
    34,208.69x = 51,241.50 × 27,508.95
  4. Step 4: Simplify right side
    34,208.69x = 1,409,599,861.43
  5. Step 5: Solve for x
    x = 1,409,599,861.43/34,208.69
  6. Step 6: Final answer
    x = 41,205.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.