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Finding the Fourth Proportional to 71,311, 106,972.26 and 22,063

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Solution

The fourth proportional to 71,311, 106,972.26 and 22,063 is: 33,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311 : 106,972.26 = 22,063 : x
  2. Step 2: Convert to fraction form
    71,311/106,972.26 = 22,063/x
  3. Step 3: Cross multiply
    71,311x = 106,972.26 × 22,063
  4. Step 4: Simplify right side
    71,311x = 2,360,128,972.38
  5. Step 5: Solve for x
    x = 2,360,128,972.38/71,311
  6. Step 6: Final answer
    x = 33,096.28

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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.