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Finding the Fourth Proportional to 57,571.20, 86,381.88 and 20,158.14

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Solution

The fourth proportional to 57,571.20, 86,381.88 and 20,158.14 is: 30,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,571.20 : 86,381.88 = 20,158.14 : x
  2. Step 2: Convert to fraction form
    57,571.20/86,381.88 = 20,158.14/x
  3. Step 3: Cross multiply
    57,571.20x = 86,381.88 × 20,158.14
  4. Step 4: Simplify right side
    57,571.20x = 1,741,298,030.50
  5. Step 5: Solve for x
    x = 1,741,298,030.50/57,571.20
  6. Step 6: Final answer
    x = 30,245.99

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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.