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Finding the Fourth Proportional to 60,489, 83,474.82 and 33,993

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Solution

The fourth proportional to 60,489, 83,474.82 and 33,993 is: 46,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,489 : 83,474.82 = 33,993 : x
  2. Step 2: Convert to fraction form
    60,489/83,474.82 = 33,993/x
  3. Step 3: Cross multiply
    60,489x = 83,474.82 × 33,993
  4. Step 4: Simplify right side
    60,489x = 2,837,559,556.26
  5. Step 5: Solve for x
    x = 2,837,559,556.26/60,489
  6. Step 6: Final answer
    x = 46,910.34

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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.