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Finding the Fourth Proportional to 27,169.01, 40,749.14 and 7,442.96

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Solution

The fourth proportional to 27,169.01, 40,749.14 and 7,442.96 is: 11,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169.01 : 40,749.14 = 7,442.96 : x
  2. Step 2: Convert to fraction form
    27,169.01/40,749.14 = 7,442.96/x
  3. Step 3: Cross multiply
    27,169.01x = 40,749.14 × 7,442.96
  4. Step 4: Simplify right side
    27,169.01x = 303,294,181.84
  5. Step 5: Solve for x
    x = 303,294,181.84/27,169.01
  6. Step 6: Final answer
    x = 11,163.24

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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.