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Finding the Fourth Proportional to 109,843.23, 164,781.24 and 39,738.93

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Solution

The fourth proportional to 109,843.23, 164,781.24 and 39,738.93 is: 59,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,843.23 : 164,781.24 = 39,738.93 : x
  2. Step 2: Convert to fraction form
    109,843.23/164,781.24 = 39,738.93/x
  3. Step 3: Cross multiply
    109,843.23x = 164,781.24 × 39,738.93
  4. Step 4: Simplify right side
    109,843.23x = 6,548,230,161.67
  5. Step 5: Solve for x
    x = 6,548,230,161.67/109,843.23
  6. Step 6: Final answer
    x = 59,614.33

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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.