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Finding the Fourth Proportional to 27,942.80, 41,914.20 and 10,425.20

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Solution

The fourth proportional to 27,942.80, 41,914.20 and 10,425.20 is: 15,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.80 : 41,914.20 = 10,425.20 : x
  2. Step 2: Convert to fraction form
    27,942.80/41,914.20 = 10,425.20/x
  3. Step 3: Cross multiply
    27,942.80x = 41,914.20 × 10,425.20
  4. Step 4: Simplify right side
    27,942.80x = 436,963,917.84
  5. Step 5: Solve for x
    x = 436,963,917.84/27,942.80
  6. Step 6: Final answer
    x = 15,637.80

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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.