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Finding the Fourth Proportional to 110,492, 165,738 and 36,620

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Solution

The fourth proportional to 110,492, 165,738 and 36,620 is: 54,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,492 : 165,738 = 36,620 : x
  2. Step 2: Convert to fraction form
    110,492/165,738 = 36,620/x
  3. Step 3: Cross multiply
    110,492x = 165,738 × 36,620
  4. Step 4: Simplify right side
    110,492x = 6,069,325,560
  5. Step 5: Solve for x
    x = 6,069,325,560/110,492
  6. Step 6: Final answer
    x = 54,930

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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.