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Finding the Fourth Proportional to 87,180, 130,770 and 21,516

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Solution

The fourth proportional to 87,180, 130,770 and 21,516 is: 32,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,180 : 130,770 = 21,516 : x
  2. Step 2: Convert to fraction form
    87,180/130,770 = 21,516/x
  3. Step 3: Cross multiply
    87,180x = 130,770 × 21,516
  4. Step 4: Simplify right side
    87,180x = 2,813,647,320
  5. Step 5: Solve for x
    x = 2,813,647,320/87,180
  6. Step 6: Final answer
    x = 32,274

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.