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Finding the Fourth Proportional to 31,722.26, 43,774.53 and 17,573.78

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Solution

The fourth proportional to 31,722.26, 43,774.53 and 17,573.78 is: 24,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.26 : 43,774.53 = 17,573.78 : x
  2. Step 2: Convert to fraction form
    31,722.26/43,774.53 = 17,573.78/x
  3. Step 3: Cross multiply
    31,722.26x = 43,774.53 × 17,573.78
  4. Step 4: Simplify right side
    31,722.26x = 769,283,959.82
  5. Step 5: Solve for x
    x = 769,283,959.82/31,722.26
  6. Step 6: Final answer
    x = 24,250.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.