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Finding the Fourth Proportional to 34,234.34, 51,351.60 and 12,035.67

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Solution

The fourth proportional to 34,234.34, 51,351.60 and 12,035.67 is: 18,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.34 : 51,351.60 = 12,035.67 : x
  2. Step 2: Convert to fraction form
    34,234.34/51,351.60 = 12,035.67/x
  3. Step 3: Cross multiply
    34,234.34x = 51,351.60 × 12,035.67
  4. Step 4: Simplify right side
    34,234.34x = 618,050,911.57
  5. Step 5: Solve for x
    x = 618,050,911.57/34,234.34
  6. Step 6: Final answer
    x = 18,053.54

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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.