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Finding the Fourth Proportional to 27,033.08, 40,564.16 and 11,249

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Solution

The fourth proportional to 27,033.08, 40,564.16 and 11,249 is: 16,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.08 : 40,564.16 = 11,249 : x
  2. Step 2: Convert to fraction form
    27,033.08/40,564.16 = 11,249/x
  3. Step 3: Cross multiply
    27,033.08x = 40,564.16 × 11,249
  4. Step 4: Simplify right side
    27,033.08x = 456,306,235.84
  5. Step 5: Solve for x
    x = 456,306,235.84/27,033.08
  6. Step 6: Final answer
    x = 16,879.55

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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.