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Finding the Fourth Proportional to 53,609.80, 73,993.22 and 29,744.68

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Solution

The fourth proportional to 53,609.80, 73,993.22 and 29,744.68 is: 41,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609.80 : 73,993.22 = 29,744.68 : x
  2. Step 2: Convert to fraction form
    53,609.80/73,993.22 = 29,744.68/x
  3. Step 3: Cross multiply
    53,609.80x = 73,993.22 × 29,744.68
  4. Step 4: Simplify right side
    53,609.80x = 2,200,904,651.07
  5. Step 5: Solve for x
    x = 2,200,904,651.07/53,609.80
  6. Step 6: Final answer
    x = 41,054.15

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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.