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Finding the Fourth Proportional to 54,809.20, 82,213.80 and 25,284.70

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Solution

The fourth proportional to 54,809.20, 82,213.80 and 25,284.70 is: 37,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.20 : 82,213.80 = 25,284.70 : x
  2. Step 2: Convert to fraction form
    54,809.20/82,213.80 = 25,284.70/x
  3. Step 3: Cross multiply
    54,809.20x = 82,213.80 × 25,284.70
  4. Step 4: Simplify right side
    54,809.20x = 2,078,751,268.86
  5. Step 5: Solve for x
    x = 2,078,751,268.86/54,809.20
  6. Step 6: Final answer
    x = 37,927.05

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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.