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Finding the Fourth Proportional to 110,553.84, 165,778.92 and 36,630

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Solution

The fourth proportional to 110,553.84, 165,778.92 and 36,630 is: 54,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,553.84 : 165,778.92 = 36,630 : x
  2. Step 2: Convert to fraction form
    110,553.84/165,778.92 = 36,630/x
  3. Step 3: Cross multiply
    110,553.84x = 165,778.92 × 36,630
  4. Step 4: Simplify right side
    110,553.84x = 6,072,481,839.60
  5. Step 5: Solve for x
    x = 6,072,481,839.60/110,553.84
  6. Step 6: Final answer
    x = 54,927.82

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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.