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Finding the Fourth Proportional to 92,201.74, 138,327.22 and 33,043.39

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Solution

The fourth proportional to 92,201.74, 138,327.22 and 33,043.39 is: 49,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.74 : 138,327.22 = 33,043.39 : x
  2. Step 2: Convert to fraction form
    92,201.74/138,327.22 = 33,043.39/x
  3. Step 3: Cross multiply
    92,201.74x = 138,327.22 × 33,043.39
  4. Step 4: Simplify right side
    92,201.74x = 4,570,800,278.08
  5. Step 5: Solve for x
    x = 4,570,800,278.08/92,201.74
  6. Step 6: Final answer
    x = 49,573.90

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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.