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Finding the Fourth Proportional to 54,896, 75,756.48 and 29,745.52

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Solution

The fourth proportional to 54,896, 75,756.48 and 29,745.52 is: 41,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896 : 75,756.48 = 29,745.52 : x
  2. Step 2: Convert to fraction form
    54,896/75,756.48 = 29,745.52/x
  3. Step 3: Cross multiply
    54,896x = 75,756.48 × 29,745.52
  4. Step 4: Simplify right side
    54,896x = 2,253,415,890.97
  5. Step 5: Solve for x
    x = 2,253,415,890.97/54,896
  6. Step 6: Final answer
    x = 41,048.82

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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.