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Finding the Fourth Proportional to 27,972.80, 41,959.20 and 19,662.20

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Solution

The fourth proportional to 27,972.80, 41,959.20 and 19,662.20 is: 29,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.80 : 41,959.20 = 19,662.20 : x
  2. Step 2: Convert to fraction form
    27,972.80/41,959.20 = 19,662.20/x
  3. Step 3: Cross multiply
    27,972.80x = 41,959.20 × 19,662.20
  4. Step 4: Simplify right side
    27,972.80x = 825,010,182.24
  5. Step 5: Solve for x
    x = 825,010,182.24/27,972.80
  6. Step 6: Final answer
    x = 29,493.30

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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.