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Finding the Fourth Proportional to 39,098.80, 58,734.60 and 27,434.80

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Solution

The fourth proportional to 39,098.80, 58,734.60 and 27,434.80 is: 41,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098.80 : 58,734.60 = 27,434.80 : x
  2. Step 2: Convert to fraction form
    39,098.80/58,734.60 = 27,434.80/x
  3. Step 3: Cross multiply
    39,098.80x = 58,734.60 × 27,434.80
  4. Step 4: Simplify right side
    39,098.80x = 1,611,372,004.08
  5. Step 5: Solve for x
    x = 1,611,372,004.08/39,098.80
  6. Step 6: Final answer
    x = 41,212.83

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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.