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Finding the Fourth Proportional to 75,759.24, 104,543.01 and 41,765.94

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Solution

The fourth proportional to 75,759.24, 104,543.01 and 41,765.94 is: 57,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759.24 : 104,543.01 = 41,765.94 : x
  2. Step 2: Convert to fraction form
    75,759.24/104,543.01 = 41,765.94/x
  3. Step 3: Cross multiply
    75,759.24x = 104,543.01 × 41,765.94
  4. Step 4: Simplify right side
    75,759.24x = 4,366,337,083.08
  5. Step 5: Solve for x
    x = 4,366,337,083.08/75,759.24
  6. Step 6: Final answer
    x = 57,634.38

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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.