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Finding the Fourth Proportional to 27,067.50, 40,607.73 and 8,599.50

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Solution

The fourth proportional to 27,067.50, 40,607.73 and 8,599.50 is: 12,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.50 : 40,607.73 = 8,599.50 : x
  2. Step 2: Convert to fraction form
    27,067.50/40,607.73 = 8,599.50/x
  3. Step 3: Cross multiply
    27,067.50x = 40,607.73 × 8,599.50
  4. Step 4: Simplify right side
    27,067.50x = 349,206,174.14
  5. Step 5: Solve for x
    x = 349,206,174.14/27,067.50
  6. Step 6: Final answer
    x = 12,901.31

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Why These Related Problems?

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