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Finding the Fourth Proportional to 29,878.38, 41,231.70 and 17,133.84

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Solution

The fourth proportional to 29,878.38, 41,231.70 and 17,133.84 is: 23,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.38 : 41,231.70 = 17,133.84 : x
  2. Step 2: Convert to fraction form
    29,878.38/41,231.70 = 17,133.84/x
  3. Step 3: Cross multiply
    29,878.38x = 41,231.70 × 17,133.84
  4. Step 4: Simplify right side
    29,878.38x = 706,457,350.73
  5. Step 5: Solve for x
    x = 706,457,350.73/29,878.38
  6. Step 6: Final answer
    x = 23,644.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.