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Finding the Fourth Proportional to 65,954.43, 98,906.67 and 23,823.09

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Solution

The fourth proportional to 65,954.43, 98,906.67 and 23,823.09 is: 35,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954.43 : 98,906.67 = 23,823.09 : x
  2. Step 2: Convert to fraction form
    65,954.43/98,906.67 = 23,823.09/x
  3. Step 3: Cross multiply
    65,954.43x = 98,906.67 × 23,823.09
  4. Step 4: Simplify right side
    65,954.43x = 2,356,262,501.01
  5. Step 5: Solve for x
    x = 2,356,262,501.01/65,954.43
  6. Step 6: Final answer
    x = 35,725.61

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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.