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Finding the Fourth Proportional to 69,189.96, 103,794 and 24,821.68

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Solution

The fourth proportional to 69,189.96, 103,794 and 24,821.68 is: 37,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.96 : 103,794 = 24,821.68 : x
  2. Step 2: Convert to fraction form
    69,189.96/103,794 = 24,821.68/x
  3. Step 3: Cross multiply
    69,189.96x = 103,794 × 24,821.68
  4. Step 4: Simplify right side
    69,189.96x = 2,576,341,453.92
  5. Step 5: Solve for x
    x = 2,576,341,453.92/69,189.96
  6. Step 6: Final answer
    x = 37,235.77

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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.