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Finding the Fourth Proportional to 53,897.69, 80,842.77 and 20,157.29

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Solution

The fourth proportional to 53,897.69, 80,842.77 and 20,157.29 is: 30,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897.69 : 80,842.77 = 20,157.29 : x
  2. Step 2: Convert to fraction form
    53,897.69/80,842.77 = 20,157.29/x
  3. Step 3: Cross multiply
    53,897.69x = 80,842.77 × 20,157.29
  4. Step 4: Simplify right side
    53,897.69x = 1,629,570,755.08
  5. Step 5: Solve for x
    x = 1,629,570,755.08/53,897.69
  6. Step 6: Final answer
    x = 30,234.52

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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.