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Finding the Fourth Proportional to 34,099.72, 51,157.21 and 10,409.37

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Solution

The fourth proportional to 34,099.72, 51,157.21 and 10,409.37 is: 15,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.72 : 51,157.21 = 10,409.37 : x
  2. Step 2: Convert to fraction form
    34,099.72/51,157.21 = 10,409.37/x
  3. Step 3: Cross multiply
    34,099.72x = 51,157.21 × 10,409.37
  4. Step 4: Simplify right side
    34,099.72x = 532,514,327.06
  5. Step 5: Solve for x
    x = 532,514,327.06/34,099.72
  6. Step 6: Final answer
    x = 15,616.38

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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.