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Finding the Fourth Proportional to 80,980.16, 111,751.31 and 45,169.25

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Solution

The fourth proportional to 80,980.16, 111,751.31 and 45,169.25 is: 62,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,980.16 : 111,751.31 = 45,169.25 : x
  2. Step 2: Convert to fraction form
    80,980.16/111,751.31 = 45,169.25/x
  3. Step 3: Cross multiply
    80,980.16x = 111,751.31 × 45,169.25
  4. Step 4: Simplify right side
    80,980.16x = 5,047,722,413.38
  5. Step 5: Solve for x
    x = 5,047,722,413.38/80,980.16
  6. Step 6: Final answer
    x = 62,332.83

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Why These Related Problems?

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