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Finding the Fourth Proportional to 50,523.78, 75,838.50 and 20,959.17

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Solution

The fourth proportional to 50,523.78, 75,838.50 and 20,959.17 is: 31,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523.78 : 75,838.50 = 20,959.17 : x
  2. Step 2: Convert to fraction form
    50,523.78/75,838.50 = 20,959.17/x
  3. Step 3: Cross multiply
    50,523.78x = 75,838.50 × 20,959.17
  4. Step 4: Simplify right side
    50,523.78x = 1,589,512,014.05
  5. Step 5: Solve for x
    x = 1,589,512,014.05/50,523.78
  6. Step 6: Final answer
    x = 31,460.67

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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.