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Finding the Fourth Proportional to 27,625.80, 41,438.70 and 10,108.20

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Solution

The fourth proportional to 27,625.80, 41,438.70 and 10,108.20 is: 15,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.80 : 41,438.70 = 10,108.20 : x
  2. Step 2: Convert to fraction form
    27,625.80/41,438.70 = 10,108.20/x
  3. Step 3: Cross multiply
    27,625.80x = 41,438.70 × 10,108.20
  4. Step 4: Simplify right side
    27,625.80x = 418,870,667.34
  5. Step 5: Solve for x
    x = 418,870,667.34/27,625.80
  6. Step 6: Final answer
    x = 15,162.30

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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.