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Finding the Fourth Proportional to 50,771.56, 76,024.86 and 40,856.68

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Solution

The fourth proportional to 50,771.56, 76,024.86 and 40,856.68 is: 61,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771.56 : 76,024.86 = 40,856.68 : x
  2. Step 2: Convert to fraction form
    50,771.56/76,024.86 = 40,856.68/x
  3. Step 3: Cross multiply
    50,771.56x = 76,024.86 × 40,856.68
  4. Step 4: Simplify right side
    50,771.56x = 3,106,123,377.06
  5. Step 5: Solve for x
    x = 3,106,123,377.06/50,771.56
  6. Step 6: Final answer
    x = 61,178.41

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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.