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Finding the Fourth Proportional to 101,788.74, 152,694.45 and 35,234.82

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Solution

The fourth proportional to 101,788.74, 152,694.45 and 35,234.82 is: 52,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,788.74 : 152,694.45 = 35,234.82 : x
  2. Step 2: Convert to fraction form
    101,788.74/152,694.45 = 35,234.82/x
  3. Step 3: Cross multiply
    101,788.74x = 152,694.45 × 35,234.82
  4. Step 4: Simplify right side
    101,788.74x = 5,380,161,460.75
  5. Step 5: Solve for x
    x = 5,380,161,460.75/101,788.74
  6. Step 6: Final answer
    x = 52,856.16

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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.