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Finding the Fourth Proportional to 54,813.40, 75,642.60 and 29,662.96

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Solution

The fourth proportional to 54,813.40, 75,642.60 and 29,662.96 is: 40,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813.40 : 75,642.60 = 29,662.96 : x
  2. Step 2: Convert to fraction form
    54,813.40/75,642.60 = 29,662.96/x
  3. Step 3: Cross multiply
    54,813.40x = 75,642.60 × 29,662.96
  4. Step 4: Simplify right side
    54,813.40x = 2,243,783,418.10
  5. Step 5: Solve for x
    x = 2,243,783,418.10/54,813.40
  6. Step 6: Final answer
    x = 40,934.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.