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Finding the Fourth Proportional to 31,542.75, 47,321.71 and 11,821.47

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Solution

The fourth proportional to 31,542.75, 47,321.71 and 11,821.47 is: 17,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.75 : 47,321.71 = 11,821.47 : x
  2. Step 2: Convert to fraction form
    31,542.75/47,321.71 = 11,821.47/x
  3. Step 3: Cross multiply
    31,542.75x = 47,321.71 × 11,821.47
  4. Step 4: Simplify right side
    31,542.75x = 559,412,175.11
  5. Step 5: Solve for x
    x = 559,412,175.11/31,542.75
  6. Step 6: Final answer
    x = 17,735.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.