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Finding the Fourth Proportional to 68,534.56, 102,568 and 57,453.76

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Solution

The fourth proportional to 68,534.56, 102,568 and 57,453.76 is: 85,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.56 : 102,568 = 57,453.76 : x
  2. Step 2: Convert to fraction form
    68,534.56/102,568 = 57,453.76/x
  3. Step 3: Cross multiply
    68,534.56x = 102,568 × 57,453.76
  4. Step 4: Simplify right side
    68,534.56x = 5,892,917,255.68
  5. Step 5: Solve for x
    x = 5,892,917,255.68/68,534.56
  6. Step 6: Final answer
    x = 85,984.61

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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.