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Finding the Fourth Proportional to 32,808, 49,212.18 and 8,184

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Solution

The fourth proportional to 32,808, 49,212.18 and 8,184 is: 12,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808 : 49,212.18 = 8,184 : x
  2. Step 2: Convert to fraction form
    32,808/49,212.18 = 8,184/x
  3. Step 3: Cross multiply
    32,808x = 49,212.18 × 8,184
  4. Step 4: Simplify right side
    32,808x = 402,752,481.12
  5. Step 5: Solve for x
    x = 402,752,481.12/32,808
  6. Step 6: Final answer
    x = 12,276.04

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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.