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Finding the Fourth Proportional to 92,201.44, 138,238.96 and 33,035.80

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Solution

The fourth proportional to 92,201.44, 138,238.96 and 33,035.80 is: 49,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.44 : 138,238.96 = 33,035.80 : x
  2. Step 2: Convert to fraction form
    92,201.44/138,238.96 = 33,035.80/x
  3. Step 3: Cross multiply
    92,201.44x = 138,238.96 × 33,035.80
  4. Step 4: Simplify right side
    92,201.44x = 4,566,834,634.77
  5. Step 5: Solve for x
    x = 4,566,834,634.77/92,201.44
  6. Step 6: Final answer
    x = 49,531.06

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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.