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Finding the Fourth Proportional to 43,827.98, 65,735.49 and 16,119.50

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Solution

The fourth proportional to 43,827.98, 65,735.49 and 16,119.50 is: 24,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827.98 : 65,735.49 = 16,119.50 : x
  2. Step 2: Convert to fraction form
    43,827.98/65,735.49 = 16,119.50/x
  3. Step 3: Cross multiply
    43,827.98x = 65,735.49 × 16,119.50
  4. Step 4: Simplify right side
    43,827.98x = 1,059,623,231.06
  5. Step 5: Solve for x
    x = 1,059,623,231.06/43,827.98
  6. Step 6: Final answer
    x = 24,176.87

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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.