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Finding the Fourth Proportional to 34,704.72, 52,057.35 and 8,409.69

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Solution

The fourth proportional to 34,704.72, 52,057.35 and 8,409.69 is: 12,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.72 : 52,057.35 = 8,409.69 : x
  2. Step 2: Convert to fraction form
    34,704.72/52,057.35 = 8,409.69/x
  3. Step 3: Cross multiply
    34,704.72x = 52,057.35 × 8,409.69
  4. Step 4: Simplify right side
    34,704.72x = 437,786,175.72
  5. Step 5: Solve for x
    x = 437,786,175.72/34,704.72
  6. Step 6: Final answer
    x = 12,614.60

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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.