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Finding the Fourth Proportional to 75,137.16, 103,685.14 and 41,601

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Solution

The fourth proportional to 75,137.16, 103,685.14 and 41,601 is: 57,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.16 : 103,685.14 = 41,601 : x
  2. Step 2: Convert to fraction form
    75,137.16/103,685.14 = 41,601/x
  3. Step 3: Cross multiply
    75,137.16x = 103,685.14 × 41,601
  4. Step 4: Simplify right side
    75,137.16x = 4,313,405,509.14
  5. Step 5: Solve for x
    x = 4,313,405,509.14/75,137.16
  6. Step 6: Final answer
    x = 57,407.09

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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.