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Finding the Fourth Proportional to 31,814.25, 43,903.67 and 20,636.25

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Solution

The fourth proportional to 31,814.25, 43,903.67 and 20,636.25 is: 28,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.25 : 43,903.67 = 20,636.25 : x
  2. Step 2: Convert to fraction form
    31,814.25/43,903.67 = 20,636.25/x
  3. Step 3: Cross multiply
    31,814.25x = 43,903.67 × 20,636.25
  4. Step 4: Simplify right side
    31,814.25x = 906,007,006.86
  5. Step 5: Solve for x
    x = 906,007,006.86/31,814.25
  6. Step 6: Final answer
    x = 28,478.03

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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.