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Finding the Fourth Proportional to 54,741.80, 82,149.15 and 25,144.40

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Solution

The fourth proportional to 54,741.80, 82,149.15 and 25,144.40 is: 37,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.80 : 82,149.15 = 25,144.40 : x
  2. Step 2: Convert to fraction form
    54,741.80/82,149.15 = 25,144.40/x
  3. Step 3: Cross multiply
    54,741.80x = 82,149.15 × 25,144.40
  4. Step 4: Simplify right side
    54,741.80x = 2,065,591,087.26
  5. Step 5: Solve for x
    x = 2,065,591,087.26/54,741.80
  6. Step 6: Final answer
    x = 37,733.34

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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.