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Finding the Fourth Proportional to 27,429.68, 41,144.52 and 6,653

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Solution

The fourth proportional to 27,429.68, 41,144.52 and 6,653 is: 9,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.68 : 41,144.52 = 6,653 : x
  2. Step 2: Convert to fraction form
    27,429.68/41,144.52 = 6,653/x
  3. Step 3: Cross multiply
    27,429.68x = 41,144.52 × 6,653
  4. Step 4: Simplify right side
    27,429.68x = 273,734,491.56
  5. Step 5: Solve for x
    x = 273,734,491.56/27,429.68
  6. Step 6: Final answer
    x = 9,979.50

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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.