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Finding the Fourth Proportional to 82,226.07, 123,343.14 and 26,822.07

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Solution

The fourth proportional to 82,226.07, 123,343.14 and 26,822.07 is: 40,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.07 : 123,343.14 = 26,822.07 : x
  2. Step 2: Convert to fraction form
    82,226.07/123,343.14 = 26,822.07/x
  3. Step 3: Cross multiply
    82,226.07x = 123,343.14 × 26,822.07
  4. Step 4: Simplify right side
    82,226.07x = 3,308,318,335.10
  5. Step 5: Solve for x
    x = 3,308,318,335.10/82,226.07
  6. Step 6: Final answer
    x = 40,234.42

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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.