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Finding the Fourth Proportional to 110,245.68, 165,365.28 and 47,916

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Solution

The fourth proportional to 110,245.68, 165,365.28 and 47,916 is: 71,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,245.68 : 165,365.28 = 47,916 : x
  2. Step 2: Convert to fraction form
    110,245.68/165,365.28 = 47,916/x
  3. Step 3: Cross multiply
    110,245.68x = 165,365.28 × 47,916
  4. Step 4: Simplify right side
    110,245.68x = 7,923,642,756.48
  5. Step 5: Solve for x
    x = 7,923,642,756.48/110,245.68
  6. Step 6: Final answer
    x = 71,872.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.