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Finding the Fourth Proportional to 54,198.82, 81,193.02 and 39,941.40

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Solution

The fourth proportional to 54,198.82, 81,193.02 and 39,941.40 is: 59,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,198.82 : 81,193.02 = 39,941.40 : x
  2. Step 2: Convert to fraction form
    54,198.82/81,193.02 = 39,941.40/x
  3. Step 3: Cross multiply
    54,198.82x = 81,193.02 × 39,941.40
  4. Step 4: Simplify right side
    54,198.82x = 3,242,962,889.03
  5. Step 5: Solve for x
    x = 3,242,962,889.03/54,198.82
  6. Step 6: Final answer
    x = 59,834.57

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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.