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Finding the Fourth Proportional to 83,751.67, 125,646.94 and 27,589.77

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Solution

The fourth proportional to 83,751.67, 125,646.94 and 27,589.77 is: 41,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.67 : 125,646.94 = 27,589.77 : x
  2. Step 2: Convert to fraction form
    83,751.67/125,646.94 = 27,589.77/x
  3. Step 3: Cross multiply
    83,751.67x = 125,646.94 × 27,589.77
  4. Step 4: Simplify right side
    83,751.67x = 3,466,570,175.80
  5. Step 5: Solve for x
    x = 3,466,570,175.80/83,751.67
  6. Step 6: Final answer
    x = 41,391.06

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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.