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Finding the Fourth Proportional to 54,748.41, 82,122.62 and 13,195.41

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Solution

The fourth proportional to 54,748.41, 82,122.62 and 13,195.41 is: 19,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748.41 : 82,122.62 = 13,195.41 : x
  2. Step 2: Convert to fraction form
    54,748.41/82,122.62 = 13,195.41/x
  3. Step 3: Cross multiply
    54,748.41x = 82,122.62 × 13,195.41
  4. Step 4: Simplify right side
    54,748.41x = 1,083,641,575.20
  5. Step 5: Solve for x
    x = 1,083,641,575.20/54,748.41
  6. Step 6: Final answer
    x = 19,793.12

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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.