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Finding the Fourth Proportional to 27,026.46, 40,553.61 and 20,450.46

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Solution

The fourth proportional to 27,026.46, 40,553.61 and 20,450.46 is: 30,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.46 : 40,553.61 = 20,450.46 : x
  2. Step 2: Convert to fraction form
    27,026.46/40,553.61 = 20,450.46/x
  3. Step 3: Cross multiply
    27,026.46x = 40,553.61 × 20,450.46
  4. Step 4: Simplify right side
    27,026.46x = 829,339,979.16
  5. Step 5: Solve for x
    x = 829,339,979.16/27,026.46
  6. Step 6: Final answer
    x = 30,686.22

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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.