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Finding the Fourth Proportional to 54,808.20, 82,212.30 and 13,255.20

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Solution

The fourth proportional to 54,808.20, 82,212.30 and 13,255.20 is: 19,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,808.20 : 82,212.30 = 13,255.20 : x
  2. Step 2: Convert to fraction form
    54,808.20/82,212.30 = 13,255.20/x
  3. Step 3: Cross multiply
    54,808.20x = 82,212.30 × 13,255.20
  4. Step 4: Simplify right side
    54,808.20x = 1,089,740,478.96
  5. Step 5: Solve for x
    x = 1,089,740,478.96/54,808.20
  6. Step 6: Final answer
    x = 19,882.80

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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.