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Finding the Fourth Proportional to 71,047.71, 106,469.87 and 52,179.75

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Solution

The fourth proportional to 71,047.71, 106,469.87 and 52,179.75 is: 78,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.71 : 106,469.87 = 52,179.75 : x
  2. Step 2: Convert to fraction form
    71,047.71/106,469.87 = 52,179.75/x
  3. Step 3: Cross multiply
    71,047.71x = 106,469.87 × 52,179.75
  4. Step 4: Simplify right side
    71,047.71x = 5,555,570,938.23
  5. Step 5: Solve for x
    x = 5,555,570,938.23/71,047.71
  6. Step 6: Final answer
    x = 78,194.93

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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.