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Finding the Fourth Proportional to 47,771.72, 65,943.34 and 31,850.36

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Solution

The fourth proportional to 47,771.72, 65,943.34 and 31,850.36 is: 43,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.72 : 65,943.34 = 31,850.36 : x
  2. Step 2: Convert to fraction form
    47,771.72/65,943.34 = 31,850.36/x
  3. Step 3: Cross multiply
    47,771.72x = 65,943.34 × 31,850.36
  4. Step 4: Simplify right side
    47,771.72x = 2,100,318,709.26
  5. Step 5: Solve for x
    x = 2,100,318,709.26/47,771.72
  6. Step 6: Final answer
    x = 43,965.74

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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.