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Finding the Fourth Proportional to 33,941, 50,911.60 and 10,567.46

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Solution

The fourth proportional to 33,941, 50,911.60 and 10,567.46 is: 15,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,941 : 50,911.60 = 10,567.46 : x
  2. Step 2: Convert to fraction form
    33,941/50,911.60 = 10,567.46/x
  3. Step 3: Cross multiply
    33,941x = 50,911.60 × 10,567.46
  4. Step 4: Simplify right side
    33,941x = 538,006,296.54
  5. Step 5: Solve for x
    x = 538,006,296.54/33,941
  6. Step 6: Final answer
    x = 15,851.22

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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.