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Finding the Fourth Proportional to 34,757.76, 52,137.36 and 8,462.64

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Solution

The fourth proportional to 34,757.76, 52,137.36 and 8,462.64 is: 12,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.76 : 52,137.36 = 8,462.64 : x
  2. Step 2: Convert to fraction form
    34,757.76/52,137.36 = 8,462.64/x
  3. Step 3: Cross multiply
    34,757.76x = 52,137.36 × 8,462.64
  4. Step 4: Simplify right side
    34,757.76x = 441,219,708.23
  5. Step 5: Solve for x
    x = 441,219,708.23/34,757.76
  6. Step 6: Final answer
    x = 12,694.14

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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.