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Finding the Fourth Proportional to 54,813.20, 75,641.32 and 29,662.48

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Solution

The fourth proportional to 54,813.20, 75,641.32 and 29,662.48 is: 40,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813.20 : 75,641.32 = 29,662.48 : x
  2. Step 2: Convert to fraction form
    54,813.20/75,641.32 = 29,662.48/x
  3. Step 3: Cross multiply
    54,813.20x = 75,641.32 × 29,662.48
  4. Step 4: Simplify right side
    54,813.20x = 2,243,709,141.67
  5. Step 5: Solve for x
    x = 2,243,709,141.67/54,813.20
  6. Step 6: Final answer
    x = 40,933.74

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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.