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Finding the Fourth Proportional to 82,266.22, 123,373.81 and 29,668.87

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Solution

The fourth proportional to 82,266.22, 123,373.81 and 29,668.87 is: 44,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.22 : 123,373.81 = 29,668.87 : x
  2. Step 2: Convert to fraction form
    82,266.22/123,373.81 = 29,668.87/x
  3. Step 3: Cross multiply
    82,266.22x = 123,373.81 × 29,668.87
  4. Step 4: Simplify right side
    82,266.22x = 3,660,361,147.69
  5. Step 5: Solve for x
    x = 3,660,361,147.69/82,266.22
  6. Step 6: Final answer
    x = 44,494.10

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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.