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Finding the Fourth Proportional to 47,768.16, 71,672.88 and 18,194.88

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Solution

The fourth proportional to 47,768.16, 71,672.88 and 18,194.88 is: 27,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.16 : 71,672.88 = 18,194.88 : x
  2. Step 2: Convert to fraction form
    47,768.16/71,672.88 = 18,194.88/x
  3. Step 3: Cross multiply
    47,768.16x = 71,672.88 × 18,194.88
  4. Step 4: Simplify right side
    47,768.16x = 1,304,079,450.85
  5. Step 5: Solve for x
    x = 1,304,079,450.85/47,768.16
  6. Step 6: Final answer
    x = 27,300.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.