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Finding the Fourth Proportional to 50,959.89, 76,431.12 and 13,523.75

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Solution

The fourth proportional to 50,959.89, 76,431.12 and 13,523.75 is: 20,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,959.89 : 76,431.12 = 13,523.75 : x
  2. Step 2: Convert to fraction form
    50,959.89/76,431.12 = 13,523.75/x
  3. Step 3: Cross multiply
    50,959.89x = 76,431.12 × 13,523.75
  4. Step 4: Simplify right side
    50,959.89x = 1,033,634,976.94
  5. Step 5: Solve for x
    x = 1,033,634,976.94/50,959.89
  6. Step 6: Final answer
    x = 20,283.30

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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.