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Finding the Fourth Proportional to 105,873.77, 158,797.60 and 30,993.12

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Solution

The fourth proportional to 105,873.77, 158,797.60 and 30,993.12 is: 46,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.77 : 158,797.60 = 30,993.12 : x
  2. Step 2: Convert to fraction form
    105,873.77/158,797.60 = 30,993.12/x
  3. Step 3: Cross multiply
    105,873.77x = 158,797.60 × 30,993.12
  4. Step 4: Simplify right side
    105,873.77x = 4,921,632,995.03
  5. Step 5: Solve for x
    x = 4,921,632,995.03/105,873.77
  6. Step 6: Final answer
    x = 46,485.86

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1.5x scale

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.