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Finding the Fourth Proportional to 31,058.64, 42,861.96 and 16,912.80

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Solution

The fourth proportional to 31,058.64, 42,861.96 and 16,912.80 is: 23,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,058.64 : 42,861.96 = 16,912.80 : x
  2. Step 2: Convert to fraction form
    31,058.64/42,861.96 = 16,912.80/x
  3. Step 3: Cross multiply
    31,058.64x = 42,861.96 × 16,912.80
  4. Step 4: Simplify right side
    31,058.64x = 724,915,757.09
  5. Step 5: Solve for x
    x = 724,915,757.09/31,058.64
  6. Step 6: Final answer
    x = 23,340.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.