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Finding the Fourth Proportional to 27,827.80, 41,718.30 and 13,028.92

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Solution

The fourth proportional to 27,827.80, 41,718.30 and 13,028.92 is: 19,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.80 : 41,718.30 = 13,028.92 : x
  2. Step 2: Convert to fraction form
    27,827.80/41,718.30 = 13,028.92/x
  3. Step 3: Cross multiply
    27,827.80x = 41,718.30 × 13,028.92
  4. Step 4: Simplify right side
    27,827.80x = 543,544,393.24
  5. Step 5: Solve for x
    x = 543,544,393.24/27,827.80
  6. Step 6: Final answer
    x = 19,532.42

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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.