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Finding the Fourth Proportional to 100,027.57, 149,963.46 and 50,081.94

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Solution

The fourth proportional to 100,027.57, 149,963.46 and 50,081.94 is: 75,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,027.57 : 149,963.46 = 50,081.94 : x
  2. Step 2: Convert to fraction form
    100,027.57/149,963.46 = 50,081.94/x
  3. Step 3: Cross multiply
    100,027.57x = 149,963.46 × 50,081.94
  4. Step 4: Simplify right side
    100,027.57x = 7,510,461,005.91
  5. Step 5: Solve for x
    x = 7,510,461,005.91/100,027.57
  6. Step 6: Final answer
    x = 75,083.91

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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.