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Finding the Fourth Proportional to 65,902.72, 98,853.13 and 15,983.23

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Solution

The fourth proportional to 65,902.72, 98,853.13 and 15,983.23 is: 23,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.72 : 98,853.13 = 15,983.23 : x
  2. Step 2: Convert to fraction form
    65,902.72/98,853.13 = 15,983.23/x
  3. Step 3: Cross multiply
    65,902.72x = 98,853.13 × 15,983.23
  4. Step 4: Simplify right side
    65,902.72x = 1,579,992,313.01
  5. Step 5: Solve for x
    x = 1,579,992,313.01/65,902.72
  6. Step 6: Final answer
    x = 23,974.61

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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.