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Finding the Fourth Proportional to 87,167.68, 130,751.28 and 23,983.12

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Solution

The fourth proportional to 87,167.68, 130,751.28 and 23,983.12 is: 35,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,167.68 : 130,751.28 = 23,983.12 : x
  2. Step 2: Convert to fraction form
    87,167.68/130,751.28 = 23,983.12/x
  3. Step 3: Cross multiply
    87,167.68x = 130,751.28 × 23,983.12
  4. Step 4: Simplify right side
    87,167.68x = 3,135,823,638.39
  5. Step 5: Solve for x
    x = 3,135,823,638.39/87,167.68
  6. Step 6: Final answer
    x = 35,974.61

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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.