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Finding the Fourth Proportional to 54,950.80, 82,418.10 and 15,511.90

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Solution

The fourth proportional to 54,950.80, 82,418.10 and 15,511.90 is: 23,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.80 : 82,418.10 = 15,511.90 : x
  2. Step 2: Convert to fraction form
    54,950.80/82,418.10 = 15,511.90/x
  3. Step 3: Cross multiply
    54,950.80x = 82,418.10 × 15,511.90
  4. Step 4: Simplify right side
    54,950.80x = 1,278,461,325.39
  5. Step 5: Solve for x
    x = 1,278,461,325.39/54,950.80
  6. Step 6: Final answer
    x = 23,265.56

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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.