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Finding the Fourth Proportional to 74,174.27, 102,354.98 and 41,898.87

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Solution

The fourth proportional to 74,174.27, 102,354.98 and 41,898.87 is: 57,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,174.27 : 102,354.98 = 41,898.87 : x
  2. Step 2: Convert to fraction form
    74,174.27/102,354.98 = 41,898.87/x
  3. Step 3: Cross multiply
    74,174.27x = 102,354.98 × 41,898.87
  4. Step 4: Simplify right side
    74,174.27x = 4,288,557,791.38
  5. Step 5: Solve for x
    x = 4,288,557,791.38/74,174.27
  6. Step 6: Final answer
    x = 57,817.33

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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.