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Finding the Fourth Proportional to 109,696.37, 164,544.57 and 26,590.37

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Solution

The fourth proportional to 109,696.37, 164,544.57 and 26,590.37 is: 39,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696.37 : 164,544.57 = 26,590.37 : x
  2. Step 2: Convert to fraction form
    109,696.37/164,544.57 = 26,590.37/x
  3. Step 3: Cross multiply
    109,696.37x = 164,544.57 × 26,590.37
  4. Step 4: Simplify right side
    109,696.37x = 4,375,300,175.07
  5. Step 5: Solve for x
    x = 4,375,300,175.07/109,696.37
  6. Step 6: Final answer
    x = 39,885.55

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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.