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Finding the Fourth Proportional to 53,784.94, 80,593.12 and 34,021.75

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Solution

The fourth proportional to 53,784.94, 80,593.12 and 34,021.75 is: 50,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784.94 : 80,593.12 = 34,021.75 : x
  2. Step 2: Convert to fraction form
    53,784.94/80,593.12 = 34,021.75/x
  3. Step 3: Cross multiply
    53,784.94x = 80,593.12 × 34,021.75
  4. Step 4: Simplify right side
    53,784.94x = 2,741,919,199.18
  5. Step 5: Solve for x
    x = 2,741,919,199.18/53,784.94
  6. Step 6: Final answer
    x = 50,979.31

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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.