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Finding the Fourth Proportional to 49,495.74, 74,282.49 and 27,324.42

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Solution

The fourth proportional to 49,495.74, 74,282.49 and 27,324.42 is: 41,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495.74 : 74,282.49 = 27,324.42 : x
  2. Step 2: Convert to fraction form
    49,495.74/74,282.49 = 27,324.42/x
  3. Step 3: Cross multiply
    49,495.74x = 74,282.49 × 27,324.42
  4. Step 4: Simplify right side
    49,495.74x = 2,029,725,955.41
  5. Step 5: Solve for x
    x = 2,029,725,955.41/49,495.74
  6. Step 6: Final answer
    x = 41,008.09

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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.