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Finding the Fourth Proportional to 54,919.36, 82,330.32 and 26,824

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Solution

The fourth proportional to 54,919.36, 82,330.32 and 26,824 is: 40,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919.36 : 82,330.32 = 26,824 : x
  2. Step 2: Convert to fraction form
    54,919.36/82,330.32 = 26,824/x
  3. Step 3: Cross multiply
    54,919.36x = 82,330.32 × 26,824
  4. Step 4: Simplify right side
    54,919.36x = 2,208,428,503.68
  5. Step 5: Solve for x
    x = 2,208,428,503.68/54,919.36
  6. Step 6: Final answer
    x = 40,212.20

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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.