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Finding the Fourth Proportional to 57,771.84, 86,660.85 and 16,222.08

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Solution

The fourth proportional to 57,771.84, 86,660.85 and 16,222.08 is: 24,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771.84 : 86,660.85 = 16,222.08 : x
  2. Step 2: Convert to fraction form
    57,771.84/86,660.85 = 16,222.08/x
  3. Step 3: Cross multiply
    57,771.84x = 86,660.85 × 16,222.08
  4. Step 4: Simplify right side
    57,771.84x = 1,405,819,241.57
  5. Step 5: Solve for x
    x = 1,405,819,241.57/57,771.84
  6. Step 6: Final answer
    x = 24,333.99

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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.