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Finding the Fourth Proportional to 106,656, 160,009.92 and 32,784

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Solution

The fourth proportional to 106,656, 160,009.92 and 32,784 is: 49,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656 : 160,009.92 = 32,784 : x
  2. Step 2: Convert to fraction form
    106,656/160,009.92 = 32,784/x
  3. Step 3: Cross multiply
    106,656x = 160,009.92 × 32,784
  4. Step 4: Simplify right side
    106,656x = 5,245,765,217.28
  5. Step 5: Solve for x
    x = 5,245,765,217.28/106,656
  6. Step 6: Final answer
    x = 49,183.97

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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.