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Finding the Fourth Proportional to 81,405.80, 122,169.45 and 41,942.60

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Solution

The fourth proportional to 81,405.80, 122,169.45 and 41,942.60 is: 62,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.80 : 122,169.45 = 41,942.60 : x
  2. Step 2: Convert to fraction form
    81,405.80/122,169.45 = 41,942.60/x
  3. Step 3: Cross multiply
    81,405.80x = 122,169.45 × 41,942.60
  4. Step 4: Simplify right side
    81,405.80x = 5,124,104,373.57
  5. Step 5: Solve for x
    x = 5,124,104,373.57/81,405.80
  6. Step 6: Final answer
    x = 62,945.20

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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.