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Finding the Fourth Proportional to 109,740.81, 164,620.94 and 30,855.72

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Solution

The fourth proportional to 109,740.81, 164,620.94 and 30,855.72 is: 46,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740.81 : 164,620.94 = 30,855.72 : x
  2. Step 2: Convert to fraction form
    109,740.81/164,620.94 = 30,855.72/x
  3. Step 3: Cross multiply
    109,740.81x = 164,620.94 × 30,855.72
  4. Step 4: Simplify right side
    109,740.81x = 5,079,497,476.50
  5. Step 5: Solve for x
    x = 5,079,497,476.50/109,740.81
  6. Step 6: Final answer
    x = 46,286.31

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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.