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Finding the Fourth Proportional to 71,027.46, 106,558.54 and 23,642.46

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Solution

The fourth proportional to 71,027.46, 106,558.54 and 23,642.46 is: 35,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.46 : 106,558.54 = 23,642.46 : x
  2. Step 2: Convert to fraction form
    71,027.46/106,558.54 = 23,642.46/x
  3. Step 3: Cross multiply
    71,027.46x = 106,558.54 × 23,642.46
  4. Step 4: Simplify right side
    71,027.46x = 2,519,305,960.50
  5. Step 5: Solve for x
    x = 2,519,305,960.50/71,027.46
  6. Step 6: Final answer
    x = 35,469.46

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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.