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Finding the Fourth Proportional to 57,105.47, 85,644.54 and 23,826.02

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Solution

The fourth proportional to 57,105.47, 85,644.54 and 23,826.02 is: 35,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.47 : 85,644.54 = 23,826.02 : x
  2. Step 2: Convert to fraction form
    57,105.47/85,644.54 = 23,826.02/x
  3. Step 3: Cross multiply
    57,105.47x = 85,644.54 × 23,826.02
  4. Step 4: Simplify right side
    57,105.47x = 2,040,568,094.71
  5. Step 5: Solve for x
    x = 2,040,568,094.71/57,105.47
  6. Step 6: Final answer
    x = 35,733.32

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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.