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Finding the Fourth Proportional to 77,696.82, 116,523.36 and 25,092.18

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Solution

The fourth proportional to 77,696.82, 116,523.36 and 25,092.18 is: 37,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696.82 : 116,523.36 = 25,092.18 : x
  2. Step 2: Convert to fraction form
    77,696.82/116,523.36 = 25,092.18/x
  3. Step 3: Cross multiply
    77,696.82x = 116,523.36 × 25,092.18
  4. Step 4: Simplify right side
    77,696.82x = 2,923,825,123.32
  5. Step 5: Solve for x
    x = 2,923,825,123.32/77,696.82
  6. Step 6: Final answer
    x = 37,631.21

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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.