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Finding the Fourth Proportional to 54,908, 75,772.94 and 29,757.50

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Solution

The fourth proportional to 54,908, 75,772.94 and 29,757.50 is: 41,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908 : 75,772.94 = 29,757.50 : x
  2. Step 2: Convert to fraction form
    54,908/75,772.94 = 29,757.50/x
  3. Step 3: Cross multiply
    54,908x = 75,772.94 × 29,757.50
  4. Step 4: Simplify right side
    54,908x = 2,254,813,262.05
  5. Step 5: Solve for x
    x = 2,254,813,262.05/54,908
  6. Step 6: Final answer
    x = 41,065.30

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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.