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Finding the Fourth Proportional to 107,596, 161,419.92 and 33,724

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Solution

The fourth proportional to 107,596, 161,419.92 and 33,724 is: 50,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,596 : 161,419.92 = 33,724 : x
  2. Step 2: Convert to fraction form
    107,596/161,419.92 = 33,724/x
  3. Step 3: Cross multiply
    107,596x = 161,419.92 × 33,724
  4. Step 4: Simplify right side
    107,596x = 5,443,725,382.08
  5. Step 5: Solve for x
    x = 5,443,725,382.08/107,596
  6. Step 6: Final answer
    x = 50,594.12

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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.