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Finding the Fourth Proportional to 27,568.45, 38,033.45 and 18,005.09

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Solution

The fourth proportional to 27,568.45, 38,033.45 and 18,005.09 is: 24,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.45 : 38,033.45 = 18,005.09 : x
  2. Step 2: Convert to fraction form
    27,568.45/38,033.45 = 18,005.09/x
  3. Step 3: Cross multiply
    27,568.45x = 38,033.45 × 18,005.09
  4. Step 4: Simplify right side
    27,568.45x = 684,795,477.59
  5. Step 5: Solve for x
    x = 684,795,477.59/27,568.45
  6. Step 6: Final answer
    x = 24,839.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.