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Finding the Fourth Proportional to 82,226, 123,358.44 and 26,822

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Solution

The fourth proportional to 82,226, 123,358.44 and 26,822 is: 40,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226 : 123,358.44 = 26,822 : x
  2. Step 2: Convert to fraction form
    82,226/123,358.44 = 26,822/x
  3. Step 3: Cross multiply
    82,226x = 123,358.44 × 26,822
  4. Step 4: Simplify right side
    82,226x = 3,308,720,077.68
  5. Step 5: Solve for x
    x = 3,308,720,077.68/82,226
  6. Step 6: Final answer
    x = 40,239.34

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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.