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Finding the Fourth Proportional to 31,696.86, 43,701.93 and 20,346.33

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Solution

The fourth proportional to 31,696.86, 43,701.93 and 20,346.33 is: 28,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.86 : 43,701.93 = 20,346.33 : x
  2. Step 2: Convert to fraction form
    31,696.86/43,701.93 = 20,346.33/x
  3. Step 3: Cross multiply
    31,696.86x = 43,701.93 × 20,346.33
  4. Step 4: Simplify right side
    31,696.86x = 889,173,889.42
  5. Step 5: Solve for x
    x = 889,173,889.42/31,696.86
  6. Step 6: Final answer
    x = 28,052.43

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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.