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Finding the Fourth Proportional to 82,227.07, 123,344.64 and 26,823.07

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Solution

The fourth proportional to 82,227.07, 123,344.64 and 26,823.07 is: 40,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.07 : 123,344.64 = 26,823.07 : x
  2. Step 2: Convert to fraction form
    82,227.07/123,344.64 = 26,823.07/x
  3. Step 3: Cross multiply
    82,227.07x = 123,344.64 × 26,823.07
  4. Step 4: Simplify right side
    82,227.07x = 3,308,481,912.84
  5. Step 5: Solve for x
    x = 3,308,481,912.84/82,227.07
  6. Step 6: Final answer
    x = 40,235.92

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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.