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Finding the Fourth Proportional to 31,973.67, 44,147.16 and 20,649.80

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Solution

The fourth proportional to 31,973.67, 44,147.16 and 20,649.80 is: 28,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973.67 : 44,147.16 = 20,649.80 : x
  2. Step 2: Convert to fraction form
    31,973.67/44,147.16 = 20,649.80/x
  3. Step 3: Cross multiply
    31,973.67x = 44,147.16 × 20,649.80
  4. Step 4: Simplify right side
    31,973.67x = 911,630,134.94
  5. Step 5: Solve for x
    x = 911,630,134.94/31,973.67
  6. Step 6: Final answer
    x = 28,511.90

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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.