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Finding the Fourth Proportional to 105,935.32, 158,767.83 and 49,651.26

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Solution

The fourth proportional to 105,935.32, 158,767.83 and 49,651.26 is: 74,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,935.32 : 158,767.83 = 49,651.26 : x
  2. Step 2: Convert to fraction form
    105,935.32/158,767.83 = 49,651.26/x
  3. Step 3: Cross multiply
    105,935.32x = 158,767.83 × 49,651.26
  4. Step 4: Simplify right side
    105,935.32x = 7,883,022,806.97
  5. Step 5: Solve for x
    x = 7,883,022,806.97/105,935.32
  6. Step 6: Final answer
    x = 74,413.55

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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.