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Finding the Fourth Proportional to 109,958.22, 164,953.62 and 39,821.22

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Solution

The fourth proportional to 109,958.22, 164,953.62 and 39,821.22 is: 59,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.22 : 164,953.62 = 39,821.22 : x
  2. Step 2: Convert to fraction form
    109,958.22/164,953.62 = 39,821.22/x
  3. Step 3: Cross multiply
    109,958.22x = 164,953.62 × 39,821.22
  4. Step 4: Simplify right side
    109,958.22x = 6,568,654,391.82
  5. Step 5: Solve for x
    x = 6,568,654,391.82/109,958.22
  6. Step 6: Final answer
    x = 59,737.73

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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.