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Finding the Fourth Proportional to 32,467.12, 48,671.44 and 11,676

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Solution

The fourth proportional to 32,467.12, 48,671.44 and 11,676 is: 17,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.12 : 48,671.44 = 11,676 : x
  2. Step 2: Convert to fraction form
    32,467.12/48,671.44 = 11,676/x
  3. Step 3: Cross multiply
    32,467.12x = 48,671.44 × 11,676
  4. Step 4: Simplify right side
    32,467.12x = 568,287,733.44
  5. Step 5: Solve for x
    x = 568,287,733.44/32,467.12
  6. Step 6: Final answer
    x = 17,503.48

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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.