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Finding the Fourth Proportional to 96,229.12, 144,340.44 and 33,898

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Solution

The fourth proportional to 96,229.12, 144,340.44 and 33,898 is: 50,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,229.12 : 144,340.44 = 33,898 : x
  2. Step 2: Convert to fraction form
    96,229.12/144,340.44 = 33,898/x
  3. Step 3: Cross multiply
    96,229.12x = 144,340.44 × 33,898
  4. Step 4: Simplify right side
    96,229.12x = 4,892,852,235.12
  5. Step 5: Solve for x
    x = 4,892,852,235.12/96,229.12
  6. Step 6: Final answer
    x = 50,845.86

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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.