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Finding the Fourth Proportional to 82,009.85, 122,996.30 and 29,419.33

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Solution

The fourth proportional to 82,009.85, 122,996.30 and 29,419.33 is: 44,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.85 : 122,996.30 = 29,419.33 : x
  2. Step 2: Convert to fraction form
    82,009.85/122,996.30 = 29,419.33/x
  3. Step 3: Cross multiply
    82,009.85x = 122,996.30 × 29,419.33
  4. Step 4: Simplify right side
    82,009.85x = 3,618,468,123.50
  5. Step 5: Solve for x
    x = 3,618,468,123.50/82,009.85
  6. Step 6: Final answer
    x = 44,122.36

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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.