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Finding the Fourth Proportional to 36,164, 49,911.30 and 21,824.56

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Solution

The fourth proportional to 36,164, 49,911.30 and 21,824.56 is: 30,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164 : 49,911.30 = 21,824.56 : x
  2. Step 2: Convert to fraction form
    36,164/49,911.30 = 21,824.56/x
  3. Step 3: Cross multiply
    36,164x = 49,911.30 × 21,824.56
  4. Step 4: Simplify right side
    36,164x = 1,089,292,161.53
  5. Step 5: Solve for x
    x = 1,089,292,161.53/36,164
  6. Step 6: Final answer
    x = 30,120.90

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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.