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Finding the Fourth Proportional to 37,884.73, 56,825.04 and 11,589.48

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Solution

The fourth proportional to 37,884.73, 56,825.04 and 11,589.48 is: 17,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.73 : 56,825.04 = 11,589.48 : x
  2. Step 2: Convert to fraction form
    37,884.73/56,825.04 = 11,589.48/x
  3. Step 3: Cross multiply
    37,884.73x = 56,825.04 × 11,589.48
  4. Step 4: Simplify right side
    37,884.73x = 658,572,437.00
  5. Step 5: Solve for x
    x = 658,572,437.00/37,884.73
  6. Step 6: Final answer
    x = 17,383.58

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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.