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Finding the Fourth Proportional to 57,343.80, 85,842.90 and 50,431.80

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Solution

The fourth proportional to 57,343.80, 85,842.90 and 50,431.80 is: 75,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,343.80 : 85,842.90 = 50,431.80 : x
  2. Step 2: Convert to fraction form
    57,343.80/85,842.90 = 50,431.80/x
  3. Step 3: Cross multiply
    57,343.80x = 85,842.90 × 50,431.80
  4. Step 4: Simplify right side
    57,343.80x = 4,329,211,964.22
  5. Step 5: Solve for x
    x = 4,329,211,964.22/57,343.80
  6. Step 6: Final answer
    x = 75,495.73

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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.