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Finding the Fourth Proportional to 31,457.97, 47,191.82 and 11,469.15

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Solution

The fourth proportional to 31,457.97, 47,191.82 and 11,469.15 is: 17,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.97 : 47,191.82 = 11,469.15 : x
  2. Step 2: Convert to fraction form
    31,457.97/47,191.82 = 11,469.15/x
  3. Step 3: Cross multiply
    31,457.97x = 47,191.82 × 11,469.15
  4. Step 4: Simplify right side
    31,457.97x = 541,250,005.01
  5. Step 5: Solve for x
    x = 541,250,005.01/31,457.97
  6. Step 6: Final answer
    x = 17,205.50

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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.