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Finding the Fourth Proportional to 34,191.70, 51,299.70 and 16,649.80

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Solution

The fourth proportional to 34,191.70, 51,299.70 and 16,649.80 is: 24,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.70 : 51,299.70 = 16,649.80 : x
  2. Step 2: Convert to fraction form
    34,191.70/51,299.70 = 16,649.80/x
  3. Step 3: Cross multiply
    34,191.70x = 51,299.70 × 16,649.80
  4. Step 4: Simplify right side
    34,191.70x = 854,129,745.06
  5. Step 5: Solve for x
    x = 854,129,745.06/34,191.70
  6. Step 6: Final answer
    x = 24,980.62

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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.