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Finding the Fourth Proportional to 71,811, 107,736.99 and 24,436.47

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Solution

The fourth proportional to 71,811, 107,736.99 and 24,436.47 is: 36,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 107,736.99 = 24,436.47 : x
  2. Step 2: Convert to fraction form
    71,811/107,736.99 = 24,436.47/x
  3. Step 3: Cross multiply
    71,811x = 107,736.99 × 24,436.47
  4. Step 4: Simplify right side
    71,811x = 2,632,711,724.03
  5. Step 5: Solve for x
    x = 2,632,711,724.03/71,811
  6. Step 6: Final answer
    x = 36,661.68

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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.