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Finding the Fourth Proportional to 34,099.08, 51,136.60 and 13,045

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Solution

The fourth proportional to 34,099.08, 51,136.60 and 13,045 is: 19,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.08 : 51,136.60 = 13,045 : x
  2. Step 2: Convert to fraction form
    34,099.08/51,136.60 = 13,045/x
  3. Step 3: Cross multiply
    34,099.08x = 51,136.60 × 13,045
  4. Step 4: Simplify right side
    34,099.08x = 667,076,947
  5. Step 5: Solve for x
    x = 667,076,947/34,099.08
  6. Step 6: Final answer
    x = 19,562.90

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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.