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Finding the Fourth Proportional to 54,194.40, 81,194.40 and 46,418.40

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Solution

The fourth proportional to 54,194.40, 81,194.40 and 46,418.40 is: 69,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,194.40 : 81,194.40 = 46,418.40 : x
  2. Step 2: Convert to fraction form
    54,194.40/81,194.40 = 46,418.40/x
  3. Step 3: Cross multiply
    54,194.40x = 81,194.40 × 46,418.40
  4. Step 4: Simplify right side
    54,194.40x = 3,768,914,136.96
  5. Step 5: Solve for x
    x = 3,768,914,136.96/54,194.40
  6. Step 6: Final answer
    x = 69,544.35

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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.