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Finding the Fourth Proportional to 34,164.36, 47,147.99 and 19,823.09

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Solution

The fourth proportional to 34,164.36, 47,147.99 and 19,823.09 is: 27,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.36 : 47,147.99 = 19,823.09 : x
  2. Step 2: Convert to fraction form
    34,164.36/47,147.99 = 19,823.09/x
  3. Step 3: Cross multiply
    34,164.36x = 47,147.99 × 19,823.09
  4. Step 4: Simplify right side
    34,164.36x = 934,618,514.23
  5. Step 5: Solve for x
    x = 934,618,514.23/34,164.36
  6. Step 6: Final answer
    x = 27,356.54

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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.