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Finding the Fourth Proportional to 95,965.80, 144,020.70 and 49,194.60

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Solution

The fourth proportional to 95,965.80, 144,020.70 and 49,194.60 is: 73,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,965.80 : 144,020.70 = 49,194.60 : x
  2. Step 2: Convert to fraction form
    95,965.80/144,020.70 = 49,194.60/x
  3. Step 3: Cross multiply
    95,965.80x = 144,020.70 × 49,194.60
  4. Step 4: Simplify right side
    95,965.80x = 7,085,040,728.22
  5. Step 5: Solve for x
    x = 7,085,040,728.22/95,965.80
  6. Step 6: Final answer
    x = 73,828.81

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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.