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Finding the Fourth Proportional to 34,647.99, 47,814.38 and 21,906.75

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Solution

The fourth proportional to 34,647.99, 47,814.38 and 21,906.75 is: 30,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647.99 : 47,814.38 = 21,906.75 : x
  2. Step 2: Convert to fraction form
    34,647.99/47,814.38 = 21,906.75/x
  3. Step 3: Cross multiply
    34,647.99x = 47,814.38 × 21,906.75
  4. Step 4: Simplify right side
    34,647.99x = 1,047,457,669.07
  5. Step 5: Solve for x
    x = 1,047,457,669.07/34,647.99
  6. Step 6: Final answer
    x = 30,231.41

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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.