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Finding the Fourth Proportional to 31,112.77, 46,669.06 and 7,739.21

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Solution

The fourth proportional to 31,112.77, 46,669.06 and 7,739.21 is: 11,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112.77 : 46,669.06 = 7,739.21 : x
  2. Step 2: Convert to fraction form
    31,112.77/46,669.06 = 7,739.21/x
  3. Step 3: Cross multiply
    31,112.77x = 46,669.06 × 7,739.21
  4. Step 4: Simplify right side
    31,112.77x = 361,181,422.50
  5. Step 5: Solve for x
    x = 361,181,422.50/31,112.77
  6. Step 6: Final answer
    x = 11,608.78

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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.