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Finding the Fourth Proportional to 107,649, 161,499.60 and 33,777

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Solution

The fourth proportional to 107,649, 161,499.60 and 33,777 is: 50,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,649 : 161,499.60 = 33,777 : x
  2. Step 2: Convert to fraction form
    107,649/161,499.60 = 33,777/x
  3. Step 3: Cross multiply
    107,649x = 161,499.60 × 33,777
  4. Step 4: Simplify right side
    107,649x = 5,454,971,989.20
  5. Step 5: Solve for x
    x = 5,454,971,989.20/107,649
  6. Step 6: Final answer
    x = 50,673.69

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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.