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Finding the Fourth Proportional to 57,144.96, 85,849.20 and 54,783

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Solution

The fourth proportional to 57,144.96, 85,849.20 and 54,783 is: 82,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.96 : 85,849.20 = 54,783 : x
  2. Step 2: Convert to fraction form
    57,144.96/85,849.20 = 54,783/x
  3. Step 3: Cross multiply
    57,144.96x = 85,849.20 × 54,783
  4. Step 4: Simplify right side
    57,144.96x = 4,703,076,723.60
  5. Step 5: Solve for x
    x = 4,703,076,723.60/57,144.96
  6. Step 6: Final answer
    x = 82,300.81

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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.