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Finding the Fourth Proportional to 56,469.49, 84,809.54 and 49,717.46

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Solution

The fourth proportional to 56,469.49, 84,809.54 and 49,717.46 is: 74,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469.49 : 84,809.54 = 49,717.46 : x
  2. Step 2: Convert to fraction form
    56,469.49/84,809.54 = 49,717.46/x
  3. Step 3: Cross multiply
    56,469.49x = 84,809.54 × 49,717.46
  4. Step 4: Simplify right side
    56,469.49x = 4,216,514,912.57
  5. Step 5: Solve for x
    x = 4,216,514,912.57/56,469.49
  6. Step 6: Final answer
    x = 74,668.90

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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.