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Finding the Fourth Proportional to 30,694.23, 46,041.35 and 9,635.85

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Solution

The fourth proportional to 30,694.23, 46,041.35 and 9,635.85 is: 14,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.23 : 46,041.35 = 9,635.85 : x
  2. Step 2: Convert to fraction form
    30,694.23/46,041.35 = 9,635.85/x
  3. Step 3: Cross multiply
    30,694.23x = 46,041.35 × 9,635.85
  4. Step 4: Simplify right side
    30,694.23x = 443,647,494.22
  5. Step 5: Solve for x
    x = 443,647,494.22/30,694.23
  6. Step 6: Final answer
    x = 14,453.78

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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.