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Finding the Fourth Proportional to 50,540.96, 75,733.68 and 29,741.60

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Solution

The fourth proportional to 50,540.96, 75,733.68 and 29,741.60 is: 44,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.96 : 75,733.68 = 29,741.60 : x
  2. Step 2: Convert to fraction form
    50,540.96/75,733.68 = 29,741.60/x
  3. Step 3: Cross multiply
    50,540.96x = 75,733.68 × 29,741.60
  4. Step 4: Simplify right side
    50,540.96x = 2,252,440,817.09
  5. Step 5: Solve for x
    x = 2,252,440,817.09/50,540.96
  6. Step 6: Final answer
    x = 44,566.64

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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.