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Finding the Fourth Proportional to 29,324.70, 40,491.38 and 27,085.77

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Solution

The fourth proportional to 29,324.70, 40,491.38 and 27,085.77 is: 37,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.70 : 40,491.38 = 27,085.77 : x
  2. Step 2: Convert to fraction form
    29,324.70/40,491.38 = 27,085.77/x
  3. Step 3: Cross multiply
    29,324.70x = 40,491.38 × 27,085.77
  4. Step 4: Simplify right side
    29,324.70x = 1,096,740,273.38
  5. Step 5: Solve for x
    x = 1,096,740,273.38/29,324.70
  6. Step 6: Final answer
    x = 37,399.88

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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.