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Finding the Fourth Proportional to 75,287, 103,896.24 and 41,759.48

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Solution

The fourth proportional to 75,287, 103,896.24 and 41,759.48 is: 57,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,287 : 103,896.24 = 41,759.48 : x
  2. Step 2: Convert to fraction form
    75,287/103,896.24 = 41,759.48/x
  3. Step 3: Cross multiply
    75,287x = 103,896.24 × 41,759.48
  4. Step 4: Simplify right side
    75,287x = 4,338,652,956.36
  5. Step 5: Solve for x
    x = 4,338,652,956.36/75,287
  6. Step 6: Final answer
    x = 57,628.18

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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.