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Finding the Fourth Proportional to 50,858.96, 76,309.50 and 27,457.88

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Solution

The fourth proportional to 50,858.96, 76,309.50 and 27,457.88 is: 41,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,858.96 : 76,309.50 = 27,457.88 : x
  2. Step 2: Convert to fraction form
    50,858.96/76,309.50 = 27,457.88/x
  3. Step 3: Cross multiply
    50,858.96x = 76,309.50 × 27,457.88
  4. Step 4: Simplify right side
    50,858.96x = 2,095,297,093.86
  5. Step 5: Solve for x
    x = 2,095,297,093.86/50,858.96
  6. Step 6: Final answer
    x = 41,198.19

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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.