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Finding the Fourth Proportional to 30,874.50, 42,606.88 and 16,727.33

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Solution

The fourth proportional to 30,874.50, 42,606.88 and 16,727.33 is: 23,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.50 : 42,606.88 = 16,727.33 : x
  2. Step 2: Convert to fraction form
    30,874.50/42,606.88 = 16,727.33/x
  3. Step 3: Cross multiply
    30,874.50x = 42,606.88 × 16,727.33
  4. Step 4: Simplify right side
    30,874.50x = 712,699,406.73
  5. Step 5: Solve for x
    x = 712,699,406.73/30,874.50
  6. Step 6: Final answer
    x = 23,083.76

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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.