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Finding the Fourth Proportional to 31,580.56, 47,357.32 and 11,845.44

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Solution

The fourth proportional to 31,580.56, 47,357.32 and 11,845.44 is: 17,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.56 : 47,357.32 = 11,845.44 : x
  2. Step 2: Convert to fraction form
    31,580.56/47,357.32 = 11,845.44/x
  3. Step 3: Cross multiply
    31,580.56x = 47,357.32 × 11,845.44
  4. Step 4: Simplify right side
    31,580.56x = 560,968,292.62
  5. Step 5: Solve for x
    x = 560,968,292.62/31,580.56
  6. Step 6: Final answer
    x = 17,763.09

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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.