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Finding the Fourth Proportional to 30,709.44, 46,063.92 and 8,523.12

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Solution

The fourth proportional to 30,709.44, 46,063.92 and 8,523.12 is: 12,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.44 : 46,063.92 = 8,523.12 : x
  2. Step 2: Convert to fraction form
    30,709.44/46,063.92 = 8,523.12/x
  3. Step 3: Cross multiply
    30,709.44x = 46,063.92 × 8,523.12
  4. Step 4: Simplify right side
    30,709.44x = 392,608,317.83
  5. Step 5: Solve for x
    x = 392,608,317.83/30,709.44
  6. Step 6: Final answer
    x = 12,784.61

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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.