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Finding the Fourth Proportional to 27,429.57, 41,144.54 and 7,708.50

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Solution

The fourth proportional to 27,429.57, 41,144.54 and 7,708.50 is: 11,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.57 : 41,144.54 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    27,429.57/41,144.54 = 7,708.50/x
  3. Step 3: Cross multiply
    27,429.57x = 41,144.54 × 7,708.50
  4. Step 4: Simplify right side
    27,429.57x = 317,162,648.05
  5. Step 5: Solve for x
    x = 317,162,648.05/27,429.57
  6. Step 6: Final answer
    x = 11,562.80

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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.