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Finding the Fourth Proportional to 57,180.20, 85,785.68 and 23,889.20

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Solution

The fourth proportional to 57,180.20, 85,785.68 and 23,889.20 is: 35,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180.20 : 85,785.68 = 23,889.20 : x
  2. Step 2: Convert to fraction form
    57,180.20/85,785.68 = 23,889.20/x
  3. Step 3: Cross multiply
    57,180.20x = 85,785.68 × 23,889.20
  4. Step 4: Simplify right side
    57,180.20x = 2,049,351,266.66
  5. Step 5: Solve for x
    x = 2,049,351,266.66/57,180.20
  6. Step 6: Final answer
    x = 35,840.23

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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.