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Finding the Fourth Proportional to 107,655, 161,508.60 and 33,783

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Solution

The fourth proportional to 107,655, 161,508.60 and 33,783 is: 50,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655 : 161,508.60 = 33,783 : x
  2. Step 2: Convert to fraction form
    107,655/161,508.60 = 33,783/x
  3. Step 3: Cross multiply
    107,655x = 161,508.60 × 33,783
  4. Step 4: Simplify right side
    107,655x = 5,456,245,033.80
  5. Step 5: Solve for x
    x = 5,456,245,033.80/107,655
  6. Step 6: Final answer
    x = 50,682.69

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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.