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Finding the Fourth Proportional to 54,942.71, 82,420.07 and 17,493.98

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Solution

The fourth proportional to 54,942.71, 82,420.07 and 17,493.98 is: 26,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.71 : 82,420.07 = 17,493.98 : x
  2. Step 2: Convert to fraction form
    54,942.71/82,420.07 = 17,493.98/x
  3. Step 3: Cross multiply
    54,942.71x = 82,420.07 × 17,493.98
  4. Step 4: Simplify right side
    54,942.71x = 1,441,854,556.61
  5. Step 5: Solve for x
    x = 1,441,854,556.61/54,942.71
  6. Step 6: Final answer
    x = 26,242.88

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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.