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Finding the Fourth Proportional to 75,725.69, 104,502.17 and 41,735.42

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Solution

The fourth proportional to 75,725.69, 104,502.17 and 41,735.42 is: 57,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,725.69 : 104,502.17 = 41,735.42 : x
  2. Step 2: Convert to fraction form
    75,725.69/104,502.17 = 41,735.42/x
  3. Step 3: Cross multiply
    75,725.69x = 104,502.17 × 41,735.42
  4. Step 4: Simplify right side
    75,725.69x = 4,361,441,224.67
  5. Step 5: Solve for x
    x = 4,361,441,224.67/75,725.69
  6. Step 6: Final answer
    x = 57,595.27

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