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Finding the Fourth Proportional to 75,137.40, 103,689.42 and 41,604.60

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Solution

The fourth proportional to 75,137.40, 103,689.42 and 41,604.60 is: 57,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.40 : 103,689.42 = 41,604.60 : x
  2. Step 2: Convert to fraction form
    75,137.40/103,689.42 = 41,604.60/x
  3. Step 3: Cross multiply
    75,137.40x = 103,689.42 × 41,604.60
  4. Step 4: Simplify right side
    75,137.40x = 4,313,956,843.33
  5. Step 5: Solve for x
    x = 4,313,956,843.33/75,137.40
  6. Step 6: Final answer
    x = 57,414.24

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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.