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Finding the Fourth Proportional to 50,832, 76,296.60 and 21,241.98

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Solution

The fourth proportional to 50,832, 76,296.60 and 21,241.98 is: 31,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,832 : 76,296.60 = 21,241.98 : x
  2. Step 2: Convert to fraction form
    50,832/76,296.60 = 21,241.98/x
  3. Step 3: Cross multiply
    50,832x = 76,296.60 × 21,241.98
  4. Step 4: Simplify right side
    50,832x = 1,620,690,851.27
  5. Step 5: Solve for x
    x = 1,620,690,851.27/50,832
  6. Step 6: Final answer
    x = 31,883.28

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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.