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Finding the Fourth Proportional to 107,091.68, 147,785.34 and 58,694

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Solution

The fourth proportional to 107,091.68, 147,785.34 and 58,694 is: 80,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,091.68 : 147,785.34 = 58,694 : x
  2. Step 2: Convert to fraction form
    107,091.68/147,785.34 = 58,694/x
  3. Step 3: Cross multiply
    107,091.68x = 147,785.34 × 58,694
  4. Step 4: Simplify right side
    107,091.68x = 8,674,112,745.96
  5. Step 5: Solve for x
    x = 8,674,112,745.96/107,091.68
  6. Step 6: Final answer
    x = 80,997.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.