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Finding the Fourth Proportional to 54,744.60, 82,149.30 and 36,078.60

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Solution

The fourth proportional to 54,744.60, 82,149.30 and 36,078.60 is: 54,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.60 : 82,149.30 = 36,078.60 : x
  2. Step 2: Convert to fraction form
    54,744.60/82,149.30 = 36,078.60/x
  3. Step 3: Cross multiply
    54,744.60x = 82,149.30 × 36,078.60
  4. Step 4: Simplify right side
    54,744.60x = 2,963,831,734.98
  5. Step 5: Solve for x
    x = 2,963,831,734.98/54,744.60
  6. Step 6: Final answer
    x = 54,139.25

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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.