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Finding the Fourth Proportional to 83,922.03, 125,853.03 and 27,751.77

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Solution

The fourth proportional to 83,922.03, 125,853.03 and 27,751.77 is: 41,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,922.03 : 125,853.03 = 27,751.77 : x
  2. Step 2: Convert to fraction form
    83,922.03/125,853.03 = 27,751.77/x
  3. Step 3: Cross multiply
    83,922.03x = 125,853.03 × 27,751.77
  4. Step 4: Simplify right side
    83,922.03x = 3,492,644,342.36
  5. Step 5: Solve for x
    x = 3,492,644,342.36/83,922.03
  6. Step 6: Final answer
    x = 41,617.73

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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.