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Finding the Fourth Proportional to 30,930.35, 42,674.09 and 18,179.46

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Solution

The fourth proportional to 30,930.35, 42,674.09 and 18,179.46 is: 25,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.35 : 42,674.09 = 18,179.46 : x
  2. Step 2: Convert to fraction form
    30,930.35/42,674.09 = 18,179.46/x
  3. Step 3: Cross multiply
    30,930.35x = 42,674.09 × 18,179.46
  4. Step 4: Simplify right side
    30,930.35x = 775,791,821.29
  5. Step 5: Solve for x
    x = 775,791,821.29/30,930.35
  6. Step 6: Final answer
    x = 25,081.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.