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Finding the Fourth Proportional to 45,384, 62,629.92 and 25,512

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Solution

The fourth proportional to 45,384, 62,629.92 and 25,512 is: 35,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384 : 62,629.92 = 25,512 : x
  2. Step 2: Convert to fraction form
    45,384/62,629.92 = 25,512/x
  3. Step 3: Cross multiply
    45,384x = 62,629.92 × 25,512
  4. Step 4: Simplify right side
    45,384x = 1,597,814,519.04
  5. Step 5: Solve for x
    x = 1,597,814,519.04/45,384
  6. Step 6: Final answer
    x = 35,206.56

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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.