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Finding the Fourth Proportional to 55,207.67, 82,811.30 and 13,654.67

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Solution

The fourth proportional to 55,207.67, 82,811.30 and 13,654.67 is: 20,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.67 : 82,811.30 = 13,654.67 : x
  2. Step 2: Convert to fraction form
    55,207.67/82,811.30 = 13,654.67/x
  3. Step 3: Cross multiply
    55,207.67x = 82,811.30 × 13,654.67
  4. Step 4: Simplify right side
    55,207.67x = 1,130,760,491.44
  5. Step 5: Solve for x
    x = 1,130,760,491.44/55,207.67
  6. Step 6: Final answer
    x = 20,481.95

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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.