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Finding the Fourth Proportional to 27,206.20, 40,809.30 and 20,207.80

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Solution

The fourth proportional to 27,206.20, 40,809.30 and 20,207.80 is: 30,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.20 : 40,809.30 = 20,207.80 : x
  2. Step 2: Convert to fraction form
    27,206.20/40,809.30 = 20,207.80/x
  3. Step 3: Cross multiply
    27,206.20x = 40,809.30 × 20,207.80
  4. Step 4: Simplify right side
    27,206.20x = 824,666,172.54
  5. Step 5: Solve for x
    x = 824,666,172.54/27,206.20
  6. Step 6: Final answer
    x = 30,311.70

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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.