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Finding the Fourth Proportional to 30,704.90, 42,367.73 and 20,650.16

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Solution

The fourth proportional to 30,704.90, 42,367.73 and 20,650.16 is: 28,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.90 : 42,367.73 = 20,650.16 : x
  2. Step 2: Convert to fraction form
    30,704.90/42,367.73 = 20,650.16/x
  3. Step 3: Cross multiply
    30,704.90x = 42,367.73 × 20,650.16
  4. Step 4: Simplify right side
    30,704.90x = 874,900,406.01
  5. Step 5: Solve for x
    x = 874,900,406.01/30,704.90
  6. Step 6: Final answer
    x = 28,493.84

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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.