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Finding the Fourth Proportional to 83,279.84, 114,923.28 and 47,481.38

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Solution

The fourth proportional to 83,279.84, 114,923.28 and 47,481.38 is: 65,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,279.84 : 114,923.28 = 47,481.38 : x
  2. Step 2: Convert to fraction form
    83,279.84/114,923.28 = 47,481.38/x
  3. Step 3: Cross multiply
    83,279.84x = 114,923.28 × 47,481.38
  4. Step 4: Simplify right side
    83,279.84x = 5,456,715,928.53
  5. Step 5: Solve for x
    x = 5,456,715,928.53/83,279.84
  6. Step 6: Final answer
    x = 65,522.65

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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.