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Finding the Fourth Proportional to 52,096, 71,902.20 and 29,740

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Solution

The fourth proportional to 52,096, 71,902.20 and 29,740 is: 41,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096 : 71,902.20 = 29,740 : x
  2. Step 2: Convert to fraction form
    52,096/71,902.20 = 29,740/x
  3. Step 3: Cross multiply
    52,096x = 71,902.20 × 29,740
  4. Step 4: Simplify right side
    52,096x = 2,138,371,428
  5. Step 5: Solve for x
    x = 2,138,371,428/52,096
  6. Step 6: Final answer
    x = 41,046.75

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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.