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Finding the Fourth Proportional to 31,059.84, 42,861.12 and 16,912.64

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Solution

The fourth proportional to 31,059.84, 42,861.12 and 16,912.64 is: 23,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.84 : 42,861.12 = 16,912.64 : x
  2. Step 2: Convert to fraction form
    31,059.84/42,861.12 = 16,912.64/x
  3. Step 3: Cross multiply
    31,059.84x = 42,861.12 × 16,912.64
  4. Step 4: Simplify right side
    31,059.84x = 724,894,692.56
  5. Step 5: Solve for x
    x = 724,894,692.56/31,059.84
  6. Step 6: Final answer
    x = 23,338.65

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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.