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Finding the Fourth Proportional to 57,025, 85,576.38 and 20,089

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Solution

The fourth proportional to 57,025, 85,576.38 and 20,089 is: 30,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,025 : 85,576.38 = 20,089 : x
  2. Step 2: Convert to fraction form
    57,025/85,576.38 = 20,089/x
  3. Step 3: Cross multiply
    57,025x = 85,576.38 × 20,089
  4. Step 4: Simplify right side
    57,025x = 1,719,143,897.82
  5. Step 5: Solve for x
    x = 1,719,143,897.82/57,025
  6. Step 6: Final answer
    x = 30,147.20

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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.