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Finding the Fourth Proportional to 30,109.50, 41,551.11 and 16,861.50

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Solution

The fourth proportional to 30,109.50, 41,551.11 and 16,861.50 is: 23,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.50 : 41,551.11 = 16,861.50 : x
  2. Step 2: Convert to fraction form
    30,109.50/41,551.11 = 16,861.50/x
  3. Step 3: Cross multiply
    30,109.50x = 41,551.11 × 16,861.50
  4. Step 4: Simplify right side
    30,109.50x = 700,614,041.27
  5. Step 5: Solve for x
    x = 700,614,041.27/30,109.50
  6. Step 6: Final answer
    x = 23,268.87

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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.