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Finding the Fourth Proportional to 92,072.82, 138,103.56 and 32,905.56

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Solution

The fourth proportional to 92,072.82, 138,103.56 and 32,905.56 is: 49,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072.82 : 138,103.56 = 32,905.56 : x
  2. Step 2: Convert to fraction form
    92,072.82/138,103.56 = 32,905.56/x
  3. Step 3: Cross multiply
    92,072.82x = 138,103.56 × 32,905.56
  4. Step 4: Simplify right side
    92,072.82x = 4,544,374,979.79
  5. Step 5: Solve for x
    x = 4,544,374,979.79/92,072.82
  6. Step 6: Final answer
    x = 49,356.31

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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.