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Finding the Fourth Proportional to 53,781.15, 80,669.89 and 20,500

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Solution

The fourth proportional to 53,781.15, 80,669.89 and 20,500 is: 30,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.15 : 80,669.89 = 20,500 : x
  2. Step 2: Convert to fraction form
    53,781.15/80,669.89 = 20,500/x
  3. Step 3: Cross multiply
    53,781.15x = 80,669.89 × 20,500
  4. Step 4: Simplify right side
    53,781.15x = 1,653,732,745
  5. Step 5: Solve for x
    x = 1,653,732,745/53,781.15
  6. Step 6: Final answer
    x = 30,749.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.