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Finding the Fourth Proportional to 34,157.50, 51,243.82 and 10,468.32

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Solution

The fourth proportional to 34,157.50, 51,243.82 and 10,468.32 is: 15,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.50 : 51,243.82 = 10,468.32 : x
  2. Step 2: Convert to fraction form
    34,157.50/51,243.82 = 10,468.32/x
  3. Step 3: Cross multiply
    34,157.50x = 51,243.82 × 10,468.32
  4. Step 4: Simplify right side
    34,157.50x = 536,436,705.78
  5. Step 5: Solve for x
    x = 536,436,705.78/34,157.50
  6. Step 6: Final answer
    x = 15,704.80

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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.