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Finding the Fourth Proportional to 107,684, 161,532.48 and 33,812

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Solution

The fourth proportional to 107,684, 161,532.48 and 33,812 is: 50,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,684 : 161,532.48 = 33,812 : x
  2. Step 2: Convert to fraction form
    107,684/161,532.48 = 33,812/x
  3. Step 3: Cross multiply
    107,684x = 161,532.48 × 33,812
  4. Step 4: Simplify right side
    107,684x = 5,461,736,213.76
  5. Step 5: Solve for x
    x = 5,461,736,213.76/107,684
  6. Step 6: Final answer
    x = 50,720.03

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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.