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Finding the Fourth Proportional to 71,843.74, 99,147.43 and 40,012.64

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Solution

The fourth proportional to 71,843.74, 99,147.43 and 40,012.64 is: 55,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.74 : 99,147.43 = 40,012.64 : x
  2. Step 2: Convert to fraction form
    71,843.74/99,147.43 = 40,012.64/x
  3. Step 3: Cross multiply
    71,843.74x = 99,147.43 × 40,012.64
  4. Step 4: Simplify right side
    71,843.74x = 3,967,150,671.38
  5. Step 5: Solve for x
    x = 3,967,150,671.38/71,843.74
  6. Step 6: Final answer
    x = 55,219.15

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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.