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Finding the Fourth Proportional to 54,938.52, 82,380.48 and 17,493.70

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Solution

The fourth proportional to 54,938.52, 82,380.48 and 17,493.70 is: 26,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938.52 : 82,380.48 = 17,493.70 : x
  2. Step 2: Convert to fraction form
    54,938.52/82,380.48 = 17,493.70/x
  3. Step 3: Cross multiply
    54,938.52x = 82,380.48 × 17,493.70
  4. Step 4: Simplify right side
    54,938.52x = 1,441,139,402.98
  5. Step 5: Solve for x
    x = 1,441,139,402.98/54,938.52
  6. Step 6: Final answer
    x = 26,231.86

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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.