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Finding the Fourth Proportional to 31,697.10, 43,715.42 and 20,368.44

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Solution

The fourth proportional to 31,697.10, 43,715.42 and 20,368.44 is: 28,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.10 : 43,715.42 = 20,368.44 : x
  2. Step 2: Convert to fraction form
    31,697.10/43,715.42 = 20,368.44/x
  3. Step 3: Cross multiply
    31,697.10x = 43,715.42 × 20,368.44
  4. Step 4: Simplify right side
    31,697.10x = 890,414,909.34
  5. Step 5: Solve for x
    x = 890,414,909.34/31,697.10
  6. Step 6: Final answer
    x = 28,091.37

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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.