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Finding the Fourth Proportional to 30,682.40, 46,020.90 and 8,493.80

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Solution

The fourth proportional to 30,682.40, 46,020.90 and 8,493.80 is: 12,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.40 : 46,020.90 = 8,493.80 : x
  2. Step 2: Convert to fraction form
    30,682.40/46,020.90 = 8,493.80/x
  3. Step 3: Cross multiply
    30,682.40x = 46,020.90 × 8,493.80
  4. Step 4: Simplify right side
    30,682.40x = 390,892,320.42
  5. Step 5: Solve for x
    x = 390,892,320.42/30,682.40
  6. Step 6: Final answer
    x = 12,739.95

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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.