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Finding the Fourth Proportional to 109,494.59, 164,241.57 and 26,388.59

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Solution

The fourth proportional to 109,494.59, 164,241.57 and 26,388.59 is: 39,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494.59 : 164,241.57 = 26,388.59 : x
  2. Step 2: Convert to fraction form
    109,494.59/164,241.57 = 26,388.59/x
  3. Step 3: Cross multiply
    109,494.59x = 164,241.57 × 26,388.59
  4. Step 4: Simplify right side
    109,494.59x = 4,334,102,729.44
  5. Step 5: Solve for x
    x = 4,334,102,729.44/109,494.59
  6. Step 6: Final answer
    x = 39,582.80

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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.