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Finding the Fourth Proportional to 75,135.75, 103,687.29 and 41,601.75

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Solution

The fourth proportional to 75,135.75, 103,687.29 and 41,601.75 is: 57,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135.75 : 103,687.29 = 41,601.75 : x
  2. Step 2: Convert to fraction form
    75,135.75/103,687.29 = 41,601.75/x
  3. Step 3: Cross multiply
    75,135.75x = 103,687.29 × 41,601.75
  4. Step 4: Simplify right side
    75,135.75x = 4,313,572,911.17
  5. Step 5: Solve for x
    x = 4,313,572,911.17/75,135.75
  6. Step 6: Final answer
    x = 57,410.39

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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.