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Finding the Fourth Proportional to 50,722.92, 75,976.02 and 41,192.28

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Solution

The fourth proportional to 50,722.92, 75,976.02 and 41,192.28 is: 61,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722.92 : 75,976.02 = 41,192.28 : x
  2. Step 2: Convert to fraction form
    50,722.92/75,976.02 = 41,192.28/x
  3. Step 3: Cross multiply
    50,722.92x = 75,976.02 × 41,192.28
  4. Step 4: Simplify right side
    50,722.92x = 3,129,625,489.13
  5. Step 5: Solve for x
    x = 3,129,625,489.13/50,722.92
  6. Step 6: Final answer
    x = 61,700.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.