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Finding the Fourth Proportional to 30,770.91, 46,152.26 and 8,582.42

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Solution

The fourth proportional to 30,770.91, 46,152.26 and 8,582.42 is: 12,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.91 : 46,152.26 = 8,582.42 : x
  2. Step 2: Convert to fraction form
    30,770.91/46,152.26 = 8,582.42/x
  3. Step 3: Cross multiply
    30,770.91x = 46,152.26 × 8,582.42
  4. Step 4: Simplify right side
    30,770.91x = 396,098,183.92
  5. Step 5: Solve for x
    x = 396,098,183.92/30,770.91
  6. Step 6: Final answer
    x = 12,872.49

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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.