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Finding the Fourth Proportional to 83,179.26, 114,754.83 and 51,292.80

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Solution

The fourth proportional to 83,179.26, 114,754.83 and 51,292.80 is: 70,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,179.26 : 114,754.83 = 51,292.80 : x
  2. Step 2: Convert to fraction form
    83,179.26/114,754.83 = 51,292.80/x
  3. Step 3: Cross multiply
    83,179.26x = 114,754.83 × 51,292.80
  4. Step 4: Simplify right side
    83,179.26x = 5,886,096,544.22
  5. Step 5: Solve for x
    x = 5,886,096,544.22/83,179.26
  6. Step 6: Final answer
    x = 70,763.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.