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Finding the Fourth Proportional to 31,293.83, 43,171.04 and 27,712.45

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Solution

The fourth proportional to 31,293.83, 43,171.04 and 27,712.45 is: 38,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.83 : 43,171.04 = 27,712.45 : x
  2. Step 2: Convert to fraction form
    31,293.83/43,171.04 = 27,712.45/x
  3. Step 3: Cross multiply
    31,293.83x = 43,171.04 × 27,712.45
  4. Step 4: Simplify right side
    31,293.83x = 1,196,375,287.45
  5. Step 5: Solve for x
    x = 1,196,375,287.45/31,293.83
  6. Step 6: Final answer
    x = 38,230.39

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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.