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Finding the Fourth Proportional to 52,006, 71,739.12 and 31,872.64

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Solution

The fourth proportional to 52,006, 71,739.12 and 31,872.64 is: 43,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 71,739.12 = 31,872.64 : x
  2. Step 2: Convert to fraction form
    52,006/71,739.12 = 31,872.64/x
  3. Step 3: Cross multiply
    52,006x = 71,739.12 × 31,872.64
  4. Step 4: Simplify right side
    52,006x = 2,286,515,145.68
  5. Step 5: Solve for x
    x = 2,286,515,145.68/52,006
  6. Step 6: Final answer
    x = 43,966.37

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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.