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Finding the Fourth Proportional to 57,145.57, 85,732.04 and 23,847.11

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Solution

The fourth proportional to 57,145.57, 85,732.04 and 23,847.11 is: 35,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.57 : 85,732.04 = 23,847.11 : x
  2. Step 2: Convert to fraction form
    57,145.57/85,732.04 = 23,847.11/x
  3. Step 3: Cross multiply
    57,145.57x = 85,732.04 × 23,847.11
  4. Step 4: Simplify right side
    57,145.57x = 2,044,461,269.17
  5. Step 5: Solve for x
    x = 2,044,461,269.17/57,145.57
  6. Step 6: Final answer
    x = 35,776.37

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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.