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Finding the Fourth Proportional to 47,850.50, 71,775.78 and 21,524.49

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Solution

The fourth proportional to 47,850.50, 71,775.78 and 21,524.49 is: 32,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850.50 : 71,775.78 = 21,524.49 : x
  2. Step 2: Convert to fraction form
    47,850.50/71,775.78 = 21,524.49/x
  3. Step 3: Cross multiply
    47,850.50x = 71,775.78 × 21,524.49
  4. Step 4: Simplify right side
    47,850.50x = 1,544,937,058.85
  5. Step 5: Solve for x
    x = 1,544,937,058.85/47,850.50
  6. Step 6: Final answer
    x = 32,286.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.