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Finding the Fourth Proportional to 37,782.91, 56,672.31 and 11,485.60

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Solution

The fourth proportional to 37,782.91, 56,672.31 and 11,485.60 is: 17,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.91 : 56,672.31 = 11,485.60 : x
  2. Step 2: Convert to fraction form
    37,782.91/56,672.31 = 11,485.60/x
  3. Step 3: Cross multiply
    37,782.91x = 56,672.31 × 11,485.60
  4. Step 4: Simplify right side
    37,782.91x = 650,915,483.74
  5. Step 5: Solve for x
    x = 650,915,483.74/37,782.91
  6. Step 6: Final answer
    x = 17,227.78

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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.