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Finding the Fourth Proportional to 110,493, 165,739.50 and 36,621

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Solution

The fourth proportional to 110,493, 165,739.50 and 36,621 is: 54,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,493 : 165,739.50 = 36,621 : x
  2. Step 2: Convert to fraction form
    110,493/165,739.50 = 36,621/x
  3. Step 3: Cross multiply
    110,493x = 165,739.50 × 36,621
  4. Step 4: Simplify right side
    110,493x = 6,069,546,229.50
  5. Step 5: Solve for x
    x = 6,069,546,229.50/110,493
  6. Step 6: Final answer
    x = 54,931.50

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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.