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Finding the Fourth Proportional to 32,138.20, 48,174.90 and 14,620.60

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Solution

The fourth proportional to 32,138.20, 48,174.90 and 14,620.60 is: 21,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.20 : 48,174.90 = 14,620.60 : x
  2. Step 2: Convert to fraction form
    32,138.20/48,174.90 = 14,620.60/x
  3. Step 3: Cross multiply
    32,138.20x = 48,174.90 × 14,620.60
  4. Step 4: Simplify right side
    32,138.20x = 704,345,942.94
  5. Step 5: Solve for x
    x = 704,345,942.94/32,138.20
  6. Step 6: Final answer
    x = 21,916.16

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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.