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Finding the Fourth Proportional to 50,498, 75,788.04 and 43,149.68

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Solution

The fourth proportional to 50,498, 75,788.04 and 43,149.68 is: 64,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 75,788.04 = 43,149.68 : x
  2. Step 2: Convert to fraction form
    50,498/75,788.04 = 43,149.68/x
  3. Step 3: Cross multiply
    50,498x = 75,788.04 × 43,149.68
  4. Step 4: Simplify right side
    50,498x = 3,270,229,673.83
  5. Step 5: Solve for x
    x = 3,270,229,673.83/50,498
  6. Step 6: Final answer
    x = 64,759.59

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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.