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Finding the Fourth Proportional to 53,839.69, 80,771.07 and 16,402.78

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Solution

The fourth proportional to 53,839.69, 80,771.07 and 16,402.78 is: 24,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,839.69 : 80,771.07 = 16,402.78 : x
  2. Step 2: Convert to fraction form
    53,839.69/80,771.07 = 16,402.78/x
  3. Step 3: Cross multiply
    53,839.69x = 80,771.07 × 16,402.78
  4. Step 4: Simplify right side
    53,839.69x = 1,324,870,087.23
  5. Step 5: Solve for x
    x = 1,324,870,087.23/53,839.69
  6. Step 6: Final answer
    x = 24,607.68

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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.