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Finding the Fourth Proportional to 57,172.56, 85,758.87 and 23,874.48

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Solution

The fourth proportional to 57,172.56, 85,758.87 and 23,874.48 is: 35,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.56 : 85,758.87 = 23,874.48 : x
  2. Step 2: Convert to fraction form
    57,172.56/85,758.87 = 23,874.48/x
  3. Step 3: Cross multiply
    57,172.56x = 85,758.87 × 23,874.48
  4. Step 4: Simplify right side
    57,172.56x = 2,047,448,426.64
  5. Step 5: Solve for x
    x = 2,047,448,426.64/57,172.56
  6. Step 6: Final answer
    x = 35,811.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.