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Finding the Fourth Proportional to 30,727.31, 46,093.49 and 8,540.70

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Solution

The fourth proportional to 30,727.31, 46,093.49 and 8,540.70 is: 12,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.31 : 46,093.49 = 8,540.70 : x
  2. Step 2: Convert to fraction form
    30,727.31/46,093.49 = 8,540.70/x
  3. Step 3: Cross multiply
    30,727.31x = 46,093.49 × 8,540.70
  4. Step 4: Simplify right side
    30,727.31x = 393,670,670.04
  5. Step 5: Solve for x
    x = 393,670,670.04/30,727.31
  6. Step 6: Final answer
    x = 12,811.75

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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.