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Finding the Fourth Proportional to 39,250.56, 54,144 and 25,824

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Solution

The fourth proportional to 39,250.56, 54,144 and 25,824 is: 35,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,250.56 : 54,144 = 25,824 : x
  2. Step 2: Convert to fraction form
    39,250.56/54,144 = 25,824/x
  3. Step 3: Cross multiply
    39,250.56x = 54,144 × 25,824
  4. Step 4: Simplify right side
    39,250.56x = 1,398,214,656
  5. Step 5: Solve for x
    x = 1,398,214,656/39,250.56
  6. Step 6: Final answer
    x = 35,622.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.