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Finding the Fourth Proportional to 32,684, 49,034.18 and 9,310.44

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Solution

The fourth proportional to 32,684, 49,034.18 and 9,310.44 is: 13,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684 : 49,034.18 = 9,310.44 : x
  2. Step 2: Convert to fraction form
    32,684/49,034.18 = 9,310.44/x
  3. Step 3: Cross multiply
    32,684x = 49,034.18 × 9,310.44
  4. Step 4: Simplify right side
    32,684x = 456,529,790.84
  5. Step 5: Solve for x
    x = 456,529,790.84/32,684
  6. Step 6: Final answer
    x = 13,967.99

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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.