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Finding the Fourth Proportional to 27,830.46, 41,752.68 and 8,109.30

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Solution

The fourth proportional to 27,830.46, 41,752.68 and 8,109.30 is: 12,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.46 : 41,752.68 = 8,109.30 : x
  2. Step 2: Convert to fraction form
    27,830.46/41,752.68 = 8,109.30/x
  3. Step 3: Cross multiply
    27,830.46x = 41,752.68 × 8,109.30
  4. Step 4: Simplify right side
    27,830.46x = 338,585,007.92
  5. Step 5: Solve for x
    x = 338,585,007.92/27,830.46
  6. Step 6: Final answer
    x = 12,165.99

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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.