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Finding the Fourth Proportional to 83,894.75, 115,748.69 and 47,590.22

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Solution

The fourth proportional to 83,894.75, 115,748.69 and 47,590.22 is: 65,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.75 : 115,748.69 = 47,590.22 : x
  2. Step 2: Convert to fraction form
    83,894.75/115,748.69 = 47,590.22/x
  3. Step 3: Cross multiply
    83,894.75x = 115,748.69 × 47,590.22
  4. Step 4: Simplify right side
    83,894.75x = 5,508,504,805.12
  5. Step 5: Solve for x
    x = 5,508,504,805.12/83,894.75
  6. Step 6: Final answer
    x = 65,659.71

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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.