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Finding the Fourth Proportional to 27,735.04, 41,605.20 and 10,205.20

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Solution

The fourth proportional to 27,735.04, 41,605.20 and 10,205.20 is: 15,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.04 : 41,605.20 = 10,205.20 : x
  2. Step 2: Convert to fraction form
    27,735.04/41,605.20 = 10,205.20/x
  3. Step 3: Cross multiply
    27,735.04x = 41,605.20 × 10,205.20
  4. Step 4: Simplify right side
    27,735.04x = 424,589,387.04
  5. Step 5: Solve for x
    x = 424,589,387.04/27,735.04
  6. Step 6: Final answer
    x = 15,308.77

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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.