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Finding the Fourth Proportional to 54,902.34, 82,290.76 and 24,939.42

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Solution

The fourth proportional to 54,902.34, 82,290.76 and 24,939.42 is: 37,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.34 : 82,290.76 = 24,939.42 : x
  2. Step 2: Convert to fraction form
    54,902.34/82,290.76 = 24,939.42/x
  3. Step 3: Cross multiply
    54,902.34x = 82,290.76 × 24,939.42
  4. Step 4: Simplify right side
    54,902.34x = 2,052,283,825.76
  5. Step 5: Solve for x
    x = 2,052,283,825.76/54,902.34
  6. Step 6: Final answer
    x = 37,380.63

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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.