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Finding the Fourth Proportional to 30,665.40, 45,998.10 and 20,167.80

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Solution

The fourth proportional to 30,665.40, 45,998.10 and 20,167.80 is: 30,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.40 : 45,998.10 = 20,167.80 : x
  2. Step 2: Convert to fraction form
    30,665.40/45,998.10 = 20,167.80/x
  3. Step 3: Cross multiply
    30,665.40x = 45,998.10 × 20,167.80
  4. Step 4: Simplify right side
    30,665.40x = 927,680,481.18
  5. Step 5: Solve for x
    x = 927,680,481.18/30,665.40
  6. Step 6: Final answer
    x = 30,251.70

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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.