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Finding the Fourth Proportional to 38,234.70, 57,352.05 and 11,942.10

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Solution

The fourth proportional to 38,234.70, 57,352.05 and 11,942.10 is: 17,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.70 : 57,352.05 = 11,942.10 : x
  2. Step 2: Convert to fraction form
    38,234.70/57,352.05 = 11,942.10/x
  3. Step 3: Cross multiply
    38,234.70x = 57,352.05 × 11,942.10
  4. Step 4: Simplify right side
    38,234.70x = 684,903,916.31
  5. Step 5: Solve for x
    x = 684,903,916.31/38,234.70
  6. Step 6: Final answer
    x = 17,913.15

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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.