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Finding the Fourth Proportional to 39,769.50, 59,654.61 and 12,067.50

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Solution

The fourth proportional to 39,769.50, 59,654.61 and 12,067.50 is: 18,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,769.50 : 59,654.61 = 12,067.50 : x
  2. Step 2: Convert to fraction form
    39,769.50/59,654.61 = 12,067.50/x
  3. Step 3: Cross multiply
    39,769.50x = 59,654.61 × 12,067.50
  4. Step 4: Simplify right side
    39,769.50x = 719,882,006.18
  5. Step 5: Solve for x
    x = 719,882,006.18/39,769.50
  6. Step 6: Final answer
    x = 18,101.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.