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Finding the Fourth Proportional to 39,932.58, 55,078.47 and 27,998.58

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Solution

The fourth proportional to 39,932.58, 55,078.47 and 27,998.58 is: 38,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932.58 : 55,078.47 = 27,998.58 : x
  2. Step 2: Convert to fraction form
    39,932.58/55,078.47 = 27,998.58/x
  3. Step 3: Cross multiply
    39,932.58x = 55,078.47 × 27,998.58
  4. Step 4: Simplify right side
    39,932.58x = 1,542,118,948.57
  5. Step 5: Solve for x
    x = 1,542,118,948.57/39,932.58
  6. Step 6: Final answer
    x = 38,618.06

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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.