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Finding the Fourth Proportional to 54,920.36, 82,331.82 and 26,825

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Solution

The fourth proportional to 54,920.36, 82,331.82 and 26,825 is: 40,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.36 : 82,331.82 = 26,825 : x
  2. Step 2: Convert to fraction form
    54,920.36/82,331.82 = 26,825/x
  3. Step 3: Cross multiply
    54,920.36x = 82,331.82 × 26,825
  4. Step 4: Simplify right side
    54,920.36x = 2,208,551,071.50
  5. Step 5: Solve for x
    x = 2,208,551,071.50/54,920.36
  6. Step 6: Final answer
    x = 40,213.70

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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.