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Finding the Fourth Proportional to 53,609.10, 73,978 and 29,735.29

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Solution

The fourth proportional to 53,609.10, 73,978 and 29,735.29 is: 41,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609.10 : 73,978 = 29,735.29 : x
  2. Step 2: Convert to fraction form
    53,609.10/73,978 = 29,735.29/x
  3. Step 3: Cross multiply
    53,609.10x = 73,978 × 29,735.29
  4. Step 4: Simplify right side
    53,609.10x = 2,199,757,283.62
  5. Step 5: Solve for x
    x = 2,199,757,283.62/53,609.10
  6. Step 6: Final answer
    x = 41,033.28

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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.