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Finding the Fourth Proportional to 105,879.66, 158,777.10 and 46,673.25

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Solution

The fourth proportional to 105,879.66, 158,777.10 and 46,673.25 is: 69,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879.66 : 158,777.10 = 46,673.25 : x
  2. Step 2: Convert to fraction form
    105,879.66/158,777.10 = 46,673.25/x
  3. Step 3: Cross multiply
    105,879.66x = 158,777.10 × 46,673.25
  4. Step 4: Simplify right side
    105,879.66x = 7,410,643,282.58
  5. Step 5: Solve for x
    x = 7,410,643,282.58/105,879.66
  6. Step 6: Final answer
    x = 69,991.19

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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.