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Finding the Fourth Proportional to 50,494.56, 75,840.26 and 41,141.50

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Solution

The fourth proportional to 50,494.56, 75,840.26 and 41,141.50 is: 61,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.56 : 75,840.26 = 41,141.50 : x
  2. Step 2: Convert to fraction form
    50,494.56/75,840.26 = 41,141.50/x
  3. Step 3: Cross multiply
    50,494.56x = 75,840.26 × 41,141.50
  4. Step 4: Simplify right side
    50,494.56x = 3,120,182,056.79
  5. Step 5: Solve for x
    x = 3,120,182,056.79/50,494.56
  6. Step 6: Final answer
    x = 61,792.44

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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.