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Finding the Fourth Proportional to 31,954.86, 44,074.92 and 27,698.32

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Solution

The fourth proportional to 31,954.86, 44,074.92 and 27,698.32 is: 38,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.86 : 44,074.92 = 27,698.32 : x
  2. Step 2: Convert to fraction form
    31,954.86/44,074.92 = 27,698.32/x
  3. Step 3: Cross multiply
    31,954.86x = 44,074.92 × 27,698.32
  4. Step 4: Simplify right side
    31,954.86x = 1,220,801,238.13
  5. Step 5: Solve for x
    x = 1,220,801,238.13/31,954.86
  6. Step 6: Final answer
    x = 38,203.93

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