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Finding the Fourth Proportional to 32,466.29, 48,704.57 and 13,746.44

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Solution

The fourth proportional to 32,466.29, 48,704.57 and 13,746.44 is: 20,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.29 : 48,704.57 = 13,746.44 : x
  2. Step 2: Convert to fraction form
    32,466.29/48,704.57 = 13,746.44/x
  3. Step 3: Cross multiply
    32,466.29x = 48,704.57 × 13,746.44
  4. Step 4: Simplify right side
    32,466.29x = 669,514,136.98
  5. Step 5: Solve for x
    x = 669,514,136.98/32,466.29
  6. Step 6: Final answer
    x = 20,621.83

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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.