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Finding the Fourth Proportional to 75,895.52, 104,735.34 and 41,906.12

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Solution

The fourth proportional to 75,895.52, 104,735.34 and 41,906.12 is: 57,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,895.52 : 104,735.34 = 41,906.12 : x
  2. Step 2: Convert to fraction form
    75,895.52/104,735.34 = 41,906.12/x
  3. Step 3: Cross multiply
    75,895.52x = 104,735.34 × 41,906.12
  4. Step 4: Simplify right side
    75,895.52x = 4,389,051,202.60
  5. Step 5: Solve for x
    x = 4,389,051,202.60/75,895.52
  6. Step 6: Final answer
    x = 57,830.18

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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.