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Finding the Fourth Proportional to 53,690.40, 80,567.26 and 20,438.44

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Solution

The fourth proportional to 53,690.40, 80,567.26 and 20,438.44 is: 30,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690.40 : 80,567.26 = 20,438.44 : x
  2. Step 2: Convert to fraction form
    53,690.40/80,567.26 = 20,438.44/x
  3. Step 3: Cross multiply
    53,690.40x = 80,567.26 × 20,438.44
  4. Step 4: Simplify right side
    53,690.40x = 1,646,669,109.47
  5. Step 5: Solve for x
    x = 1,646,669,109.47/53,690.40
  6. Step 6: Final answer
    x = 30,669.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.