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Finding the Fourth Proportional to 31,469.98, 47,177 and 11,735.14

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Solution

The fourth proportional to 31,469.98, 47,177 and 11,735.14 is: 17,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.98 : 47,177 = 11,735.14 : x
  2. Step 2: Convert to fraction form
    31,469.98/47,177 = 11,735.14/x
  3. Step 3: Cross multiply
    31,469.98x = 47,177 × 11,735.14
  4. Step 4: Simplify right side
    31,469.98x = 553,628,699.78
  5. Step 5: Solve for x
    x = 553,628,699.78/31,469.98
  6. Step 6: Final answer
    x = 17,592.28

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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.