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Finding the Fourth Proportional to 34,609.14, 51,918.03 and 13,546.46

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Solution

The fourth proportional to 34,609.14, 51,918.03 and 13,546.46 is: 20,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,609.14 : 51,918.03 = 13,546.46 : x
  2. Step 2: Convert to fraction form
    34,609.14/51,918.03 = 13,546.46/x
  3. Step 3: Cross multiply
    34,609.14x = 51,918.03 × 13,546.46
  4. Step 4: Simplify right side
    34,609.14x = 703,305,646.47
  5. Step 5: Solve for x
    x = 703,305,646.47/34,609.14
  6. Step 6: Final answer
    x = 20,321.38

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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.