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Finding the Fourth Proportional to 54,727, 82,099.26 and 23,137.40

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Solution

The fourth proportional to 54,727, 82,099.26 and 23,137.40 is: 34,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,727 : 82,099.26 = 23,137.40 : x
  2. Step 2: Convert to fraction form
    54,727/82,099.26 = 23,137.40/x
  3. Step 3: Cross multiply
    54,727x = 82,099.26 × 23,137.40
  4. Step 4: Simplify right side
    54,727x = 1,899,563,418.32
  5. Step 5: Solve for x
    x = 1,899,563,418.32/54,727
  6. Step 6: Final answer
    x = 34,709.80

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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.