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Finding the Fourth Proportional to 51,375.44, 70,894.68 and 29,018

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Solution

The fourth proportional to 51,375.44, 70,894.68 and 29,018 is: 40,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,375.44 : 70,894.68 = 29,018 : x
  2. Step 2: Convert to fraction form
    51,375.44/70,894.68 = 29,018/x
  3. Step 3: Cross multiply
    51,375.44x = 70,894.68 × 29,018
  4. Step 4: Simplify right side
    51,375.44x = 2,057,221,824.24
  5. Step 5: Solve for x
    x = 2,057,221,824.24/51,375.44
  6. Step 6: Final answer
    x = 40,042.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.