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Finding the Fourth Proportional to 34,230.96, 47,236.44 and 19,326

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Solution

The fourth proportional to 34,230.96, 47,236.44 and 19,326 is: 26,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230.96 : 47,236.44 = 19,326 : x
  2. Step 2: Convert to fraction form
    34,230.96/47,236.44 = 19,326/x
  3. Step 3: Cross multiply
    34,230.96x = 47,236.44 × 19,326
  4. Step 4: Simplify right side
    34,230.96x = 912,891,439.44
  5. Step 5: Solve for x
    x = 912,891,439.44/34,230.96
  6. Step 6: Final answer
    x = 26,668.59

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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.