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Finding the Fourth Proportional to 50,826.87, 76,234.53 and 13,389.87

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Solution

The fourth proportional to 50,826.87, 76,234.53 and 13,389.87 is: 20,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,826.87 : 76,234.53 = 13,389.87 : x
  2. Step 2: Convert to fraction form
    50,826.87/76,234.53 = 13,389.87/x
  3. Step 3: Cross multiply
    50,826.87x = 76,234.53 × 13,389.87
  4. Step 4: Simplify right side
    50,826.87x = 1,020,770,446.21
  5. Step 5: Solve for x
    x = 1,020,770,446.21/50,826.87
  6. Step 6: Final answer
    x = 20,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.