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Finding the Fourth Proportional to 20,859.44, 31,294.44 and 6,068

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Solution

The fourth proportional to 20,859.44, 31,294.44 and 6,068 is: 9,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.44 : 31,294.44 = 6,068 : x
  2. Step 2: Convert to fraction form
    20,859.44/31,294.44 = 6,068/x
  3. Step 3: Cross multiply
    20,859.44x = 31,294.44 × 6,068
  4. Step 4: Simplify right side
    20,859.44x = 189,894,661.92
  5. Step 5: Solve for x
    x = 189,894,661.92/20,859.44
  6. Step 6: Final answer
    x = 9,103.54

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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.