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Finding the Fourth Proportional to 75,142.90, 103,694 and 41,150.78

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Solution

The fourth proportional to 75,142.90, 103,694 and 41,150.78 is: 56,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.90 : 103,694 = 41,150.78 : x
  2. Step 2: Convert to fraction form
    75,142.90/103,694 = 41,150.78/x
  3. Step 3: Cross multiply
    75,142.90x = 103,694 × 41,150.78
  4. Step 4: Simplify right side
    75,142.90x = 4,267,088,981.32
  5. Step 5: Solve for x
    x = 4,267,088,981.32/75,142.90
  6. Step 6: Final answer
    x = 56,786.32

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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.