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Finding the Fourth Proportional to 110,491, 165,736.52 and 36,619

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Solution

The fourth proportional to 110,491, 165,736.52 and 36,619 is: 54,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,491 : 165,736.52 = 36,619 : x
  2. Step 2: Convert to fraction form
    110,491/165,736.52 = 36,619/x
  3. Step 3: Cross multiply
    110,491x = 165,736.52 × 36,619
  4. Step 4: Simplify right side
    110,491x = 6,069,105,625.88
  5. Step 5: Solve for x
    x = 6,069,105,625.88/110,491
  6. Step 6: Final answer
    x = 54,928.51

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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.