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Finding the Fourth Proportional to 71,135.64, 106,714.98 and 26,765.82

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Solution

The fourth proportional to 71,135.64, 106,714.98 and 26,765.82 is: 40,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.64 : 106,714.98 = 26,765.82 : x
  2. Step 2: Convert to fraction form
    71,135.64/106,714.98 = 26,765.82/x
  3. Step 3: Cross multiply
    71,135.64x = 106,714.98 × 26,765.82
  4. Step 4: Simplify right side
    71,135.64x = 2,856,313,945.98
  5. Step 5: Solve for x
    x = 2,856,313,945.98/71,135.64
  6. Step 6: Final answer
    x = 40,153.06

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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.