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Finding the Fourth Proportional to 80,907.39, 111,649.62 and 50,709

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Solution

The fourth proportional to 80,907.39, 111,649.62 and 50,709 is: 69,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,907.39 : 111,649.62 = 50,709 : x
  2. Step 2: Convert to fraction form
    80,907.39/111,649.62 = 50,709/x
  3. Step 3: Cross multiply
    80,907.39x = 111,649.62 × 50,709
  4. Step 4: Simplify right side
    80,907.39x = 5,661,640,580.58
  5. Step 5: Solve for x
    x = 5,661,640,580.58/80,907.39
  6. Step 6: Final answer
    x = 69,976.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.