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Finding the Fourth Proportional to 31,644.50, 47,435.70 and 17,611.25

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Solution

The fourth proportional to 31,644.50, 47,435.70 and 17,611.25 is: 26,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.50 : 47,435.70 = 17,611.25 : x
  2. Step 2: Convert to fraction form
    31,644.50/47,435.70 = 17,611.25/x
  3. Step 3: Cross multiply
    31,644.50x = 47,435.70 × 17,611.25
  4. Step 4: Simplify right side
    31,644.50x = 835,401,971.63
  5. Step 5: Solve for x
    x = 835,401,971.63/31,644.50
  6. Step 6: Final answer
    x = 26,399.59

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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.