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Finding the Fourth Proportional to 27,835.44, 41,744.95 and 8,107.78

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Solution

The fourth proportional to 27,835.44, 41,744.95 and 8,107.78 is: 12,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.44 : 41,744.95 = 8,107.78 : x
  2. Step 2: Convert to fraction form
    27,835.44/41,744.95 = 8,107.78/x
  3. Step 3: Cross multiply
    27,835.44x = 41,744.95 × 8,107.78
  4. Step 4: Simplify right side
    27,835.44x = 338,458,870.71
  5. Step 5: Solve for x
    x = 338,458,870.71/27,835.44
  6. Step 6: Final answer
    x = 12,159.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.