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Finding the Fourth Proportional to 54,684, 82,040.58 and 26,982

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Solution

The fourth proportional to 54,684, 82,040.58 and 26,982 is: 40,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 82,040.58 = 26,982 : x
  2. Step 2: Convert to fraction form
    54,684/82,040.58 = 26,982/x
  3. Step 3: Cross multiply
    54,684x = 82,040.58 × 26,982
  4. Step 4: Simplify right side
    54,684x = 2,213,618,929.56
  5. Step 5: Solve for x
    x = 2,213,618,929.56/54,684
  6. Step 6: Final answer
    x = 40,480.19

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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.