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Finding the Fourth Proportional to 50,647.22, 75,947.73 and 21,047.42

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Solution

The fourth proportional to 50,647.22, 75,947.73 and 21,047.42 is: 31,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.22 : 75,947.73 = 21,047.42 : x
  2. Step 2: Convert to fraction form
    50,647.22/75,947.73 = 21,047.42/x
  3. Step 3: Cross multiply
    50,647.22x = 75,947.73 × 21,047.42
  4. Step 4: Simplify right side
    50,647.22x = 1,598,503,771.36
  5. Step 5: Solve for x
    x = 1,598,503,771.36/50,647.22
  6. Step 6: Final answer
    x = 31,561.53

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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.