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Finding the Fourth Proportional to 54,951.70, 82,427.55 and 25,427.20

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Solution

The fourth proportional to 54,951.70, 82,427.55 and 25,427.20 is: 38,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.70 : 82,427.55 = 25,427.20 : x
  2. Step 2: Convert to fraction form
    54,951.70/82,427.55 = 25,427.20/x
  3. Step 3: Cross multiply
    54,951.70x = 82,427.55 × 25,427.20
  4. Step 4: Simplify right side
    54,951.70x = 2,095,901,799.36
  5. Step 5: Solve for x
    x = 2,095,901,799.36/54,951.70
  6. Step 6: Final answer
    x = 38,140.80

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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.