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Finding the Fourth Proportional to 41,862, 62,821.80 and 17,238

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Solution

The fourth proportional to 41,862, 62,821.80 and 17,238 is: 25,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,862 : 62,821.80 = 17,238 : x
  2. Step 2: Convert to fraction form
    41,862/62,821.80 = 17,238/x
  3. Step 3: Cross multiply
    41,862x = 62,821.80 × 17,238
  4. Step 4: Simplify right side
    41,862x = 1,082,922,188.40
  5. Step 5: Solve for x
    x = 1,082,922,188.40/41,862
  6. Step 6: Final answer
    x = 25,868.86

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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.