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Finding the Fourth Proportional to 54,805.20, 82,207.80 and 25,280.70

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Solution

The fourth proportional to 54,805.20, 82,207.80 and 25,280.70 is: 37,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,805.20 : 82,207.80 = 25,280.70 : x
  2. Step 2: Convert to fraction form
    54,805.20/82,207.80 = 25,280.70/x
  3. Step 3: Cross multiply
    54,805.20x = 82,207.80 × 25,280.70
  4. Step 4: Simplify right side
    54,805.20x = 2,078,270,729.46
  5. Step 5: Solve for x
    x = 2,078,270,729.46/54,805.20
  6. Step 6: Final answer
    x = 37,921.05

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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.