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Finding the Fourth Proportional to 32,793.12, 49,181.18 and 9,414.09

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Solution

The fourth proportional to 32,793.12, 49,181.18 and 9,414.09 is: 14,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793.12 : 49,181.18 = 9,414.09 : x
  2. Step 2: Convert to fraction form
    32,793.12/49,181.18 = 9,414.09/x
  3. Step 3: Cross multiply
    32,793.12x = 49,181.18 × 9,414.09
  4. Step 4: Simplify right side
    32,793.12x = 462,996,007.76
  5. Step 5: Solve for x
    x = 462,996,007.76/32,793.12
  6. Step 6: Final answer
    x = 14,118.69

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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.