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Finding the Fourth Proportional to 50,701.75, 76,052.64 and 13,765.75

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Solution

The fourth proportional to 50,701.75, 76,052.64 and 13,765.75 is: 20,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,701.75 : 76,052.64 = 13,765.75 : x
  2. Step 2: Convert to fraction form
    50,701.75/76,052.64 = 13,765.75/x
  3. Step 3: Cross multiply
    50,701.75x = 76,052.64 × 13,765.75
  4. Step 4: Simplify right side
    50,701.75x = 1,046,921,629.08
  5. Step 5: Solve for x
    x = 1,046,921,629.08/50,701.75
  6. Step 6: Final answer
    x = 20,648.63

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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.