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Finding the Fourth Proportional to 30,147.85, 41,556.09 and 23,764.08

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Solution

The fourth proportional to 30,147.85, 41,556.09 and 23,764.08 is: 32,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.85 : 41,556.09 = 23,764.08 : x
  2. Step 2: Convert to fraction form
    30,147.85/41,556.09 = 23,764.08/x
  3. Step 3: Cross multiply
    30,147.85x = 41,556.09 × 23,764.08
  4. Step 4: Simplify right side
    30,147.85x = 987,542,247.25
  5. Step 5: Solve for x
    x = 987,542,247.25/30,147.85
  6. Step 6: Final answer
    x = 32,756.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.