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Finding the Fourth Proportional to 83,067, 114,592.55 and 54,374.01

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Solution

The fourth proportional to 83,067, 114,592.55 and 54,374.01 is: 75,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,067 : 114,592.55 = 54,374.01 : x
  2. Step 2: Convert to fraction form
    83,067/114,592.55 = 54,374.01/x
  3. Step 3: Cross multiply
    83,067x = 114,592.55 × 54,374.01
  4. Step 4: Simplify right side
    83,067x = 6,230,856,187.76
  5. Step 5: Solve for x
    x = 6,230,856,187.76/83,067
  6. Step 6: Final answer
    x = 75,010.01

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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.