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Finding the Fourth Proportional to 27,824, 41,735.96 and 7,049.12

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Solution

The fourth proportional to 27,824, 41,735.96 and 7,049.12 is: 10,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 41,735.96 = 7,049.12 : x
  2. Step 2: Convert to fraction form
    27,824/41,735.96 = 7,049.12/x
  3. Step 3: Cross multiply
    27,824x = 41,735.96 × 7,049.12
  4. Step 4: Simplify right side
    27,824x = 294,201,790.36
  5. Step 5: Solve for x
    x = 294,201,790.36/27,824
  6. Step 6: Final answer
    x = 10,573.67

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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.