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Finding the Fourth Proportional to 54,902.70, 82,354.05 and 13,349.70

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Solution

The fourth proportional to 54,902.70, 82,354.05 and 13,349.70 is: 20,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.70 : 82,354.05 = 13,349.70 : x
  2. Step 2: Convert to fraction form
    54,902.70/82,354.05 = 13,349.70/x
  3. Step 3: Cross multiply
    54,902.70x = 82,354.05 × 13,349.70
  4. Step 4: Simplify right side
    54,902.70x = 1,099,401,861.29
  5. Step 5: Solve for x
    x = 1,099,401,861.29/54,902.70
  6. Step 6: Final answer
    x = 20,024.55

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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.