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Finding the Fourth Proportional to 32,175.30, 48,269.38 and 11,116.10

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Solution

The fourth proportional to 32,175.30, 48,269.38 and 11,116.10 is: 16,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.30 : 48,269.38 = 11,116.10 : x
  2. Step 2: Convert to fraction form
    32,175.30/48,269.38 = 11,116.10/x
  3. Step 3: Cross multiply
    32,175.30x = 48,269.38 × 11,116.10
  4. Step 4: Simplify right side
    32,175.30x = 536,567,255.02
  5. Step 5: Solve for x
    x = 536,567,255.02/32,175.30
  6. Step 6: Final answer
    x = 16,676.37

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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.