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Finding the Fourth Proportional to 100,029.74, 149,966.24 and 50,084.73

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Solution

The fourth proportional to 100,029.74, 149,966.24 and 50,084.73 is: 75,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.74 : 149,966.24 = 50,084.73 : x
  2. Step 2: Convert to fraction form
    100,029.74/149,966.24 = 50,084.73/x
  3. Step 3: Cross multiply
    100,029.74x = 149,966.24 × 50,084.73
  4. Step 4: Simplify right side
    100,029.74x = 7,511,018,389.09
  5. Step 5: Solve for x
    x = 7,511,018,389.09/100,029.74
  6. Step 6: Final answer
    x = 75,087.86

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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.