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Finding the Fourth Proportional to 31,817.50, 47,733.54 and 11,041

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Solution

The fourth proportional to 31,817.50, 47,733.54 and 11,041 is: 16,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.50 : 47,733.54 = 11,041 : x
  2. Step 2: Convert to fraction form
    31,817.50/47,733.54 = 11,041/x
  3. Step 3: Cross multiply
    31,817.50x = 47,733.54 × 11,041
  4. Step 4: Simplify right side
    31,817.50x = 527,026,015.14
  5. Step 5: Solve for x
    x = 527,026,015.14/31,817.50
  6. Step 6: Final answer
    x = 16,564.03

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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.