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Finding the Fourth Proportional to 53,847.69, 80,788.01 and 27,571.02

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Solution

The fourth proportional to 53,847.69, 80,788.01 and 27,571.02 is: 41,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847.69 : 80,788.01 = 27,571.02 : x
  2. Step 2: Convert to fraction form
    53,847.69/80,788.01 = 27,571.02/x
  3. Step 3: Cross multiply
    53,847.69x = 80,788.01 × 27,571.02
  4. Step 4: Simplify right side
    53,847.69x = 2,227,407,701.62
  5. Step 5: Solve for x
    x = 2,227,407,701.62/53,847.69
  6. Step 6: Final answer
    x = 41,364.96

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Why These Related Problems?

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