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Finding the Fourth Proportional to 31,505.97, 47,181.14 and 23,481.50

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Solution

The fourth proportional to 31,505.97, 47,181.14 and 23,481.50 is: 35,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.97 : 47,181.14 = 23,481.50 : x
  2. Step 2: Convert to fraction form
    31,505.97/47,181.14 = 23,481.50/x
  3. Step 3: Cross multiply
    31,505.97x = 47,181.14 × 23,481.50
  4. Step 4: Simplify right side
    31,505.97x = 1,107,883,761.71
  5. Step 5: Solve for x
    x = 1,107,883,761.71/31,505.97
  6. Step 6: Final answer
    x = 35,164.25

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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.