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Finding the Fourth Proportional to 39,932.07, 55,077.79 and 27,998.07

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Solution

The fourth proportional to 39,932.07, 55,077.79 and 27,998.07 is: 38,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932.07 : 55,077.79 = 27,998.07 : x
  2. Step 2: Convert to fraction form
    39,932.07/55,077.79 = 27,998.07/x
  3. Step 3: Cross multiply
    39,932.07x = 55,077.79 × 27,998.07
  4. Step 4: Simplify right side
    39,932.07x = 1,542,071,819.87
  5. Step 5: Solve for x
    x = 1,542,071,819.87/39,932.07
  6. Step 6: Final answer
    x = 38,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.