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Finding the Fourth Proportional to 52,074.80, 71,863.93 and 29,103.62

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Solution

The fourth proportional to 52,074.80, 71,863.93 and 29,103.62 is: 40,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.80 : 71,863.93 = 29,103.62 : x
  2. Step 2: Convert to fraction form
    52,074.80/71,863.93 = 29,103.62/x
  3. Step 3: Cross multiply
    52,074.80x = 71,863.93 × 29,103.62
  4. Step 4: Simplify right side
    52,074.80x = 2,091,500,078.35
  5. Step 5: Solve for x
    x = 2,091,500,078.35/52,074.80
  6. Step 6: Final answer
    x = 40,163.38

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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.