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Finding the Fourth Proportional to 80,696.25, 121,063.82 and 25,292.25

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Solution

The fourth proportional to 80,696.25, 121,063.82 and 25,292.25 is: 37,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,696.25 : 121,063.82 = 25,292.25 : x
  2. Step 2: Convert to fraction form
    80,696.25/121,063.82 = 25,292.25/x
  3. Step 3: Cross multiply
    80,696.25x = 121,063.82 × 25,292.25
  4. Step 4: Simplify right side
    80,696.25x = 3,061,976,274.93
  5. Step 5: Solve for x
    x = 3,061,976,274.93/80,696.25
  6. Step 6: Final answer
    x = 37,944.47

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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.