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Finding the Fourth Proportional to 56,805.24, 85,076.64 and 54,837

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Solution

The fourth proportional to 56,805.24, 85,076.64 and 54,837 is: 82,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805.24 : 85,076.64 = 54,837 : x
  2. Step 2: Convert to fraction form
    56,805.24/85,076.64 = 54,837/x
  3. Step 3: Cross multiply
    56,805.24x = 85,076.64 × 54,837
  4. Step 4: Simplify right side
    56,805.24x = 4,665,347,707.68
  5. Step 5: Solve for x
    x = 4,665,347,707.68/56,805.24
  6. Step 6: Final answer
    x = 82,128.83

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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.