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Finding the Fourth Proportional to 32,136.41, 48,175.09 and 11,071.44

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Solution

The fourth proportional to 32,136.41, 48,175.09 and 11,071.44 is: 16,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.41 : 48,175.09 = 11,071.44 : x
  2. Step 2: Convert to fraction form
    32,136.41/48,175.09 = 11,071.44/x
  3. Step 3: Cross multiply
    32,136.41x = 48,175.09 × 11,071.44
  4. Step 4: Simplify right side
    32,136.41x = 533,367,618.43
  5. Step 5: Solve for x
    x = 533,367,618.43/32,136.41
  6. Step 6: Final answer
    x = 16,596.99

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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.