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Finding the Fourth Proportional to 109,874.47, 164,593.33 and 53,550.34

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Solution

The fourth proportional to 109,874.47, 164,593.33 and 53,550.34 is: 80,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.47 : 164,593.33 = 53,550.34 : x
  2. Step 2: Convert to fraction form
    109,874.47/164,593.33 = 53,550.34/x
  3. Step 3: Cross multiply
    109,874.47x = 164,593.33 × 53,550.34
  4. Step 4: Simplify right side
    109,874.47x = 8,814,027,960.27
  5. Step 5: Solve for x
    x = 8,814,027,960.27/109,874.47
  6. Step 6: Final answer
    x = 80,219.08

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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.