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Finding the Fourth Proportional to 92,003.74, 138,006.08 and 27,962.48

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Solution

The fourth proportional to 92,003.74, 138,006.08 and 27,962.48 is: 41,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,003.74 : 138,006.08 = 27,962.48 : x
  2. Step 2: Convert to fraction form
    92,003.74/138,006.08 = 27,962.48/x
  3. Step 3: Cross multiply
    92,003.74x = 138,006.08 × 27,962.48
  4. Step 4: Simplify right side
    92,003.74x = 3,858,992,251.88
  5. Step 5: Solve for x
    x = 3,858,992,251.88/92,003.74
  6. Step 6: Final answer
    x = 41,943.86

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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.