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Finding the Fourth Proportional to 82,226.81, 123,344.28 and 26,822.81

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Solution

The fourth proportional to 82,226.81, 123,344.28 and 26,822.81 is: 40,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.81 : 123,344.28 = 26,822.81 : x
  2. Step 2: Convert to fraction form
    82,226.81/123,344.28 = 26,822.81/x
  3. Step 3: Cross multiply
    82,226.81x = 123,344.28 × 26,822.81
  4. Step 4: Simplify right side
    82,226.81x = 3,308,440,495.39
  5. Step 5: Solve for x
    x = 3,308,440,495.39/82,226.81
  6. Step 6: Final answer
    x = 40,235.54

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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.