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Finding the Fourth Proportional to 31,698.70, 43,741.16 and 18,949.34

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Solution

The fourth proportional to 31,698.70, 43,741.16 and 18,949.34 is: 26,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.70 : 43,741.16 = 18,949.34 : x
  2. Step 2: Convert to fraction form
    31,698.70/43,741.16 = 18,949.34/x
  3. Step 3: Cross multiply
    31,698.70x = 43,741.16 × 18,949.34
  4. Step 4: Simplify right side
    31,698.70x = 828,866,112.83
  5. Step 5: Solve for x
    x = 828,866,112.83/31,698.70
  6. Step 6: Final answer
    x = 26,148.27

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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.