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Finding the Fourth Proportional to 32,976.50, 49,479.15 and 12,194.42

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Solution

The fourth proportional to 32,976.50, 49,479.15 and 12,194.42 is: 18,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.50 : 49,479.15 = 12,194.42 : x
  2. Step 2: Convert to fraction form
    32,976.50/49,479.15 = 12,194.42/x
  3. Step 3: Cross multiply
    32,976.50x = 49,479.15 × 12,194.42
  4. Step 4: Simplify right side
    32,976.50x = 603,369,536.34
  5. Step 5: Solve for x
    x = 603,369,536.34/32,976.50
  6. Step 6: Final answer
    x = 18,296.95

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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.