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Finding the Fourth Proportional to 92,112.67, 138,169.04 and 32,944.80

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Solution

The fourth proportional to 92,112.67, 138,169.04 and 32,944.80 is: 49,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112.67 : 138,169.04 = 32,944.80 : x
  2. Step 2: Convert to fraction form
    92,112.67/138,169.04 = 32,944.80/x
  3. Step 3: Cross multiply
    92,112.67x = 138,169.04 × 32,944.80
  4. Step 4: Simplify right side
    92,112.67x = 4,551,951,224.27
  5. Step 5: Solve for x
    x = 4,551,951,224.27/92,112.67
  6. Step 6: Final answer
    x = 49,417.21

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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.