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Finding the Fourth Proportional to 71,264.10, 106,892.28 and 26,889.78

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Solution

The fourth proportional to 71,264.10, 106,892.28 and 26,889.78 is: 40,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.10 : 106,892.28 = 26,889.78 : x
  2. Step 2: Convert to fraction form
    71,264.10/106,892.28 = 26,889.78/x
  3. Step 3: Cross multiply
    71,264.10x = 106,892.28 × 26,889.78
  4. Step 4: Simplify right side
    71,264.10x = 2,874,309,892.90
  5. Step 5: Solve for x
    x = 2,874,309,892.90/71,264.10
  6. Step 6: Final answer
    x = 40,333.21

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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.