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Finding the Fourth Proportional to 53,693.82, 80,449.77 and 32,873.82

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Solution

The fourth proportional to 53,693.82, 80,449.77 and 32,873.82 is: 49,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.82 : 80,449.77 = 32,873.82 : x
  2. Step 2: Convert to fraction form
    53,693.82/80,449.77 = 32,873.82/x
  3. Step 3: Cross multiply
    53,693.82x = 80,449.77 × 32,873.82
  4. Step 4: Simplify right side
    53,693.82x = 2,644,691,258.02
  5. Step 5: Solve for x
    x = 2,644,691,258.02/53,693.82
  6. Step 6: Final answer
    x = 49,255.04

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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.