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Finding the Fourth Proportional to 41,876, 62,842.80 and 17,252

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Solution

The fourth proportional to 41,876, 62,842.80 and 17,252 is: 25,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876 : 62,842.80 = 17,252 : x
  2. Step 2: Convert to fraction form
    41,876/62,842.80 = 17,252/x
  3. Step 3: Cross multiply
    41,876x = 62,842.80 × 17,252
  4. Step 4: Simplify right side
    41,876x = 1,084,163,985.60
  5. Step 5: Solve for x
    x = 1,084,163,985.60/41,876
  6. Step 6: Final answer
    x = 25,889.86

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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.