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Finding the Fourth Proportional to 54,908, 75,781.17 and 34,766.75

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Solution

The fourth proportional to 54,908, 75,781.17 and 34,766.75 is: 47,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908 : 75,781.17 = 34,766.75 : x
  2. Step 2: Convert to fraction form
    54,908/75,781.17 = 34,766.75/x
  3. Step 3: Cross multiply
    54,908x = 75,781.17 × 34,766.75
  4. Step 4: Simplify right side
    54,908x = 2,634,664,992.10
  5. Step 5: Solve for x
    x = 2,634,664,992.10/54,908
  6. Step 6: Final answer
    x = 47,983.26

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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.