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Finding the Fourth Proportional to 83,067.66, 114,593.45 and 54,374.68

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Solution

The fourth proportional to 83,067.66, 114,593.45 and 54,374.68 is: 75,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,067.66 : 114,593.45 = 54,374.68 : x
  2. Step 2: Convert to fraction form
    83,067.66/114,593.45 = 54,374.68/x
  3. Step 3: Cross multiply
    83,067.66x = 114,593.45 × 54,374.68
  4. Step 4: Simplify right side
    83,067.66x = 6,230,982,173.85
  5. Step 5: Solve for x
    x = 6,230,982,173.85/83,067.66
  6. Step 6: Final answer
    x = 75,010.93

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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.