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Finding the Fourth Proportional to 29,906, 41,270.28 and 17,338.04

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Solution

The fourth proportional to 29,906, 41,270.28 and 17,338.04 is: 23,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906 : 41,270.28 = 17,338.04 : x
  2. Step 2: Convert to fraction form
    29,906/41,270.28 = 17,338.04/x
  3. Step 3: Cross multiply
    29,906x = 41,270.28 × 17,338.04
  4. Step 4: Simplify right side
    29,906x = 715,545,765.45
  5. Step 5: Solve for x
    x = 715,545,765.45/29,906
  6. Step 6: Final answer
    x = 23,926.50

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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.