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Finding the Fourth Proportional to 34,450.56, 51,676.74 and 9,491.58

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Solution

The fourth proportional to 34,450.56, 51,676.74 and 9,491.58 is: 14,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,450.56 : 51,676.74 = 9,491.58 : x
  2. Step 2: Convert to fraction form
    34,450.56/51,676.74 = 9,491.58/x
  3. Step 3: Cross multiply
    34,450.56x = 51,676.74 × 9,491.58
  4. Step 4: Simplify right side
    34,450.56x = 490,493,911.85
  5. Step 5: Solve for x
    x = 490,493,911.85/34,450.56
  6. Step 6: Final answer
    x = 14,237.62

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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.