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Finding the Fourth Proportional to 31,295.35, 43,173.09 and 27,713.95

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Solution

The fourth proportional to 31,295.35, 43,173.09 and 27,713.95 is: 38,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.35 : 43,173.09 = 27,713.95 : x
  2. Step 2: Convert to fraction form
    31,295.35/43,173.09 = 27,713.95/x
  3. Step 3: Cross multiply
    31,295.35x = 43,173.09 × 27,713.95
  4. Step 4: Simplify right side
    31,295.35x = 1,196,496,857.61
  5. Step 5: Solve for x
    x = 1,196,496,857.61/31,295.35
  6. Step 6: Final answer
    x = 38,232.42

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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.